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Finding the Third Proportional to 713,661 and 1,538,729

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Solution

The third proportional to 713,661 and 1,538,729 is: 3,317,663.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,661 : 1,538,729 = 1,538,729 : x
  2. Step 2: Convert to fraction form
    713,661/1,538,729 = 1,538,729/x
  3. Step 3: Cross multiply
    713,661x = 1,538,729 × 1,538,729
  4. Step 4: Simplify right side
    713,661x = 2,367,686,935,441
  5. Step 5: Solve for x
    x = 2,367,686,935,441/713,661
  6. Step 6: Final answer
    x = 3,317,663.34

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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.