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Finding the Third Proportional to 727,856 and 1,580,032

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Solution

The third proportional to 727,856 and 1,580,032 is: 3,429,938.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,856 : 1,580,032 = 1,580,032 : x
  2. Step 2: Convert to fraction form
    727,856/1,580,032 = 1,580,032/x
  3. Step 3: Cross multiply
    727,856x = 1,580,032 × 1,580,032
  4. Step 4: Simplify right side
    727,856x = 2,496,501,121,024
  5. Step 5: Solve for x
    x = 2,496,501,121,024/727,856
  6. Step 6: Final answer
    x = 3,429,938.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.