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Finding the Third Proportional to 516,636 and 1,094,730

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Solution

The third proportional to 516,636 and 1,094,730 is: 2,319,686.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,636 : 1,094,730 = 1,094,730 : x
  2. Step 2: Convert to fraction form
    516,636/1,094,730 = 1,094,730/x
  3. Step 3: Cross multiply
    516,636x = 1,094,730 × 1,094,730
  4. Step 4: Simplify right side
    516,636x = 1,198,433,772,900
  5. Step 5: Solve for x
    x = 1,198,433,772,900/516,636
  6. Step 6: Final answer
    x = 2,319,686.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.