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Finding the Third Proportional to 691,630.31 and 1,417,398.75

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Solution

The third proportional to 691,630.31 and 1,417,398.75 is: 2,904,758.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,630.31 : 1,417,398.75 = 1,417,398.75 : x
  2. Step 2: Convert to fraction form
    691,630.31/1,417,398.75 = 1,417,398.75/x
  3. Step 3: Cross multiply
    691,630.31x = 1,417,398.75 × 1,417,398.75
  4. Step 4: Simplify right side
    691,630.31x = 2,009,019,216,501.56
  5. Step 5: Solve for x
    x = 2,009,019,216,501.56/691,630.31
  6. Step 6: Final answer
    x = 2,904,758.77

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.