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Finding the Third Proportional to 788,432 and 1,726,127

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Solution

The third proportional to 788,432 and 1,726,127 is: 3,779,037.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,432 : 1,726,127 = 1,726,127 : x
  2. Step 2: Convert to fraction form
    788,432/1,726,127 = 1,726,127/x
  3. Step 3: Cross multiply
    788,432x = 1,726,127 × 1,726,127
  4. Step 4: Simplify right side
    788,432x = 2,979,514,420,129
  5. Step 5: Solve for x
    x = 2,979,514,420,129/788,432
  6. Step 6: Final answer
    x = 3,779,037.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.