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Finding the Third Proportional to 761,682,552 and 1,052,472,254

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Solution

The third proportional to 761,682,552 and 1,052,472,254 is: 1,454,277,562.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,682,552 : 1,052,472,254 = 1,052,472,254 : x
  2. Step 2: Convert to fraction form
    761,682,552/1,052,472,254 = 1,052,472,254/x
  3. Step 3: Cross multiply
    761,682,552x = 1,052,472,254 × 1,052,472,254
  4. Step 4: Simplify right side
    761,682,552x = 1,107,697,845,439,840,512
  5. Step 5: Solve for x
    x = 1,107,697,845,439,840,512/761,682,552
  6. Step 6: Final answer
    x = 1,454,277,562.92

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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.