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Finding the Third Proportional to 462,451,584 and 676,313,352

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Solution

The third proportional to 462,451,584 and 676,313,352 is: 989,075,972.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,451,584 : 676,313,352 = 676,313,352 : x
  2. Step 2: Convert to fraction form
    462,451,584/676,313,352 = 676,313,352/x
  3. Step 3: Cross multiply
    462,451,584x = 676,313,352 × 676,313,352
  4. Step 4: Simplify right side
    462,451,584x = 457,399,750,093,475,904
  5. Step 5: Solve for x
    x = 457,399,750,093,475,904/462,451,584
  6. Step 6: Final answer
    x = 989,075,972.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.