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Finding the Third Proportional to 713,139 and 1,681,743

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Solution

The third proportional to 713,139 and 1,681,743 is: 3,965,930.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,139 : 1,681,743 = 1,681,743 : x
  2. Step 2: Convert to fraction form
    713,139/1,681,743 = 1,681,743/x
  3. Step 3: Cross multiply
    713,139x = 1,681,743 × 1,681,743
  4. Step 4: Simplify right side
    713,139x = 2,828,259,518,049
  5. Step 5: Solve for x
    x = 2,828,259,518,049/713,139
  6. Step 6: Final answer
    x = 3,965,930.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.