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Finding the Third Proportional to 713,289 and 1,108,022

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Solution

The third proportional to 713,289 and 1,108,022 is: 1,721,199.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,289 : 1,108,022 = 1,108,022 : x
  2. Step 2: Convert to fraction form
    713,289/1,108,022 = 1,108,022/x
  3. Step 3: Cross multiply
    713,289x = 1,108,022 × 1,108,022
  4. Step 4: Simplify right side
    713,289x = 1,227,712,752,484
  5. Step 5: Solve for x
    x = 1,227,712,752,484/713,289
  6. Step 6: Final answer
    x = 1,721,199.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.