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Finding the Third Proportional to 732,137 and 1,342,774

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Solution

The third proportional to 732,137 and 1,342,774 is: 2,462,711.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,137 : 1,342,774 = 1,342,774 : x
  2. Step 2: Convert to fraction form
    732,137/1,342,774 = 1,342,774/x
  3. Step 3: Cross multiply
    732,137x = 1,342,774 × 1,342,774
  4. Step 4: Simplify right side
    732,137x = 1,803,042,015,076
  5. Step 5: Solve for x
    x = 1,803,042,015,076/732,137
  6. Step 6: Final answer
    x = 2,462,711.23

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.