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Finding the Third Proportional to 516,046 and 781,854

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Solution

The third proportional to 516,046 and 781,854 is: 1,184,575.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,046 : 781,854 = 781,854 : x
  2. Step 2: Convert to fraction form
    516,046/781,854 = 781,854/x
  3. Step 3: Cross multiply
    516,046x = 781,854 × 781,854
  4. Step 4: Simplify right side
    516,046x = 611,295,677,316
  5. Step 5: Solve for x
    x = 611,295,677,316/516,046
  6. Step 6: Final answer
    x = 1,184,575.94

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Why These Related Problems?

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