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Finding the Third Proportional to 709,924.50 and 1,557,630

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Solution

The third proportional to 709,924.50 and 1,557,630 is: 3,417,562.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,924.50 : 1,557,630 = 1,557,630 : x
  2. Step 2: Convert to fraction form
    709,924.50/1,557,630 = 1,557,630/x
  3. Step 3: Cross multiply
    709,924.50x = 1,557,630 × 1,557,630
  4. Step 4: Simplify right side
    709,924.50x = 2,426,211,216,900
  5. Step 5: Solve for x
    x = 2,426,211,216,900/709,924.50
  6. Step 6: Final answer
    x = 3,417,562.31

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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.