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Finding the Third Proportional to 516,110 and 781,947

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Solution

The third proportional to 516,110 and 781,947 is: 1,184,710.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,110 : 781,947 = 781,947 : x
  2. Step 2: Convert to fraction form
    516,110/781,947 = 781,947/x
  3. Step 3: Cross multiply
    516,110x = 781,947 × 781,947
  4. Step 4: Simplify right side
    516,110x = 611,441,110,809
  5. Step 5: Solve for x
    x = 611,441,110,809/516,110
  6. Step 6: Final answer
    x = 1,184,710.84

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.