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Finding the Third Proportional to 516,213 and 1,132,137

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Solution

The third proportional to 516,213 and 1,132,137 is: 2,482,956.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,213 : 1,132,137 = 1,132,137 : x
  2. Step 2: Convert to fraction form
    516,213/1,132,137 = 1,132,137/x
  3. Step 3: Cross multiply
    516,213x = 1,132,137 × 1,132,137
  4. Step 4: Simplify right side
    516,213x = 1,281,734,186,769
  5. Step 5: Solve for x
    x = 1,281,734,186,769/516,213
  6. Step 6: Final answer
    x = 2,482,956.04

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Why These Related Problems?

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