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Finding the Third Proportional to 493,880,522 and 726,042,479

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Solution

The third proportional to 493,880,522 and 726,042,479 is: 1,067,338,471.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,880,522 : 726,042,479 = 726,042,479 : x
  2. Step 2: Convert to fraction form
    493,880,522/726,042,479 = 726,042,479/x
  3. Step 3: Cross multiply
    493,880,522x = 726,042,479 × 726,042,479
  4. Step 4: Simplify right side
    493,880,522x = 527,137,681,312,465,472
  5. Step 5: Solve for x
    x = 527,137,681,312,465,472/493,880,522
  6. Step 6: Final answer
    x = 1,067,338,471.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.