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Finding the Third Proportional to 665,474,881 and 1,034,502,711

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Solution

The third proportional to 665,474,881 and 1,034,502,711 is: 1,608,168,677.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,474,881 : 1,034,502,711 = 1,034,502,711 : x
  2. Step 2: Convert to fraction form
    665,474,881/1,034,502,711 = 1,034,502,711/x
  3. Step 3: Cross multiply
    665,474,881x = 1,034,502,711 × 1,034,502,711
  4. Step 4: Simplify right side
    665,474,881x = 1,070,195,859,066,349,568
  5. Step 5: Solve for x
    x = 1,070,195,859,066,349,568/665,474,881
  6. Step 6: Final answer
    x = 1,608,168,677.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.