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Finding the Third Proportional to 404,389,908 and 873,217,584

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Solution

The third proportional to 404,389,908 and 873,217,584 is: 1,885,578,581.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,389,908 : 873,217,584 = 873,217,584 : x
  2. Step 2: Convert to fraction form
    404,389,908/873,217,584 = 873,217,584/x
  3. Step 3: Cross multiply
    404,389,908x = 873,217,584 × 873,217,584
  4. Step 4: Simplify right side
    404,389,908x = 762,508,949,006,797,056
  5. Step 5: Solve for x
    x = 762,508,949,006,797,056/404,389,908
  6. Step 6: Final answer
    x = 1,885,578,581.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.