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Finding the Third Proportional to 761,682,544.31 and 1,052,472,242.25

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Solution

The third proportional to 761,682,544.31 and 1,052,472,242.25 is: 1,454,277,545.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,682,544.31 : 1,052,472,242.25 = 1,052,472,242.25 : x
  2. Step 2: Convert to fraction form
    761,682,544.31/1,052,472,242.25 = 1,052,472,242.25/x
  3. Step 3: Cross multiply
    761,682,544.31x = 1,052,472,242.25 × 1,052,472,242.25
  4. Step 4: Simplify right side
    761,682,544.31x = 1,107,697,820,706,742,656
  5. Step 5: Solve for x
    x = 1,107,697,820,706,742,656/761,682,544.31
  6. Step 6: Final answer
    x = 1,454,277,545.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.