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Finding the Third Proportional to 415,221,606 and 583,981,407

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Solution

The third proportional to 415,221,606 and 583,981,407 is: 821,330,775.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,221,606 : 583,981,407 = 583,981,407 : x
  2. Step 2: Convert to fraction form
    415,221,606/583,981,407 = 583,981,407/x
  3. Step 3: Cross multiply
    415,221,606x = 583,981,407 × 583,981,407
  4. Step 4: Simplify right side
    415,221,606x = 341,034,283,721,699,648
  5. Step 5: Solve for x
    x = 341,034,283,721,699,648/415,221,606
  6. Step 6: Final answer
    x = 821,330,775.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.