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Finding the Third Proportional to 976,398,881 and 1,473,678,287

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Solution

The third proportional to 976,398,881 and 1,473,678,287 is: 2,224,221,817.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,398,881 : 1,473,678,287 = 1,473,678,287 : x
  2. Step 2: Convert to fraction form
    976,398,881/1,473,678,287 = 1,473,678,287/x
  3. Step 3: Cross multiply
    976,398,881x = 1,473,678,287 × 1,473,678,287
  4. Step 4: Simplify right side
    976,398,881x = 2,171,727,693,575,254,272
  5. Step 5: Solve for x
    x = 2,171,727,693,575,254,272/976,398,881
  6. Step 6: Final answer
    x = 2,224,221,817.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.