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Finding the Third Proportional to 710,022 and 1,557,742

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Solution

The third proportional to 710,022 and 1,557,742 is: 3,417,584.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,022 : 1,557,742 = 1,557,742 : x
  2. Step 2: Convert to fraction form
    710,022/1,557,742 = 1,557,742/x
  3. Step 3: Cross multiply
    710,022x = 1,557,742 × 1,557,742
  4. Step 4: Simplify right side
    710,022x = 2,426,560,138,564
  5. Step 5: Solve for x
    x = 2,426,560,138,564/710,022
  6. Step 6: Final answer
    x = 3,417,584.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.