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Finding the Third Proportional to 713,988 and 1,545,534

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Solution

The third proportional to 713,988 and 1,545,534 is: 3,345,539.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,988 : 1,545,534 = 1,545,534 : x
  2. Step 2: Convert to fraction form
    713,988/1,545,534 = 1,545,534/x
  3. Step 3: Cross multiply
    713,988x = 1,545,534 × 1,545,534
  4. Step 4: Simplify right side
    713,988x = 2,388,675,345,156
  5. Step 5: Solve for x
    x = 2,388,675,345,156/713,988
  6. Step 6: Final answer
    x = 3,345,539.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.