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Finding the Third Proportional to 761,682,554 and 1,052,472,257

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Solution

The third proportional to 761,682,554 and 1,052,472,257 is: 1,454,277,567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,682,554 : 1,052,472,257 = 1,052,472,257 : x
  2. Step 2: Convert to fraction form
    761,682,554/1,052,472,257 = 1,052,472,257/x
  3. Step 3: Cross multiply
    761,682,554x = 1,052,472,257 × 1,052,472,257
  4. Step 4: Simplify right side
    761,682,554x = 1,107,697,851,754,674,048
  5. Step 5: Solve for x
    x = 1,107,697,851,754,674,048/761,682,554
  6. Step 6: Final answer
    x = 1,454,277,567.39

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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.