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Finding the Third Proportional to 739,854 and 1,612,572

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Solution

The third proportional to 739,854 and 1,612,572 is: 3,514,731.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,854 : 1,612,572 = 1,612,572 : x
  2. Step 2: Convert to fraction form
    739,854/1,612,572 = 1,612,572/x
  3. Step 3: Cross multiply
    739,854x = 1,612,572 × 1,612,572
  4. Step 4: Simplify right side
    739,854x = 2,600,388,455,184
  5. Step 5: Solve for x
    x = 2,600,388,455,184/739,854
  6. Step 6: Final answer
    x = 3,514,731.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.