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Finding the Third Proportional to 976,416 and 2,057,808

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Solution

The third proportional to 976,416 and 2,057,808 is: 4,336,854.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,416 : 2,057,808 = 2,057,808 : x
  2. Step 2: Convert to fraction form
    976,416/2,057,808 = 2,057,808/x
  3. Step 3: Cross multiply
    976,416x = 2,057,808 × 2,057,808
  4. Step 4: Simplify right side
    976,416x = 4,234,573,764,864
  5. Step 5: Solve for x
    x = 4,234,573,764,864/976,416
  6. Step 6: Final answer
    x = 4,336,854.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.