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Finding the Third Proportional to 516,456 and 1,132,596

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Solution

The third proportional to 516,456 and 1,132,596 is: 2,483,800.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,456 : 1,132,596 = 1,132,596 : x
  2. Step 2: Convert to fraction form
    516,456/1,132,596 = 1,132,596/x
  3. Step 3: Cross multiply
    516,456x = 1,132,596 × 1,132,596
  4. Step 4: Simplify right side
    516,456x = 1,282,773,699,216
  5. Step 5: Solve for x
    x = 1,282,773,699,216/516,456
  6. Step 6: Final answer
    x = 2,483,800.55

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