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Finding the Third Proportional to 695,339.44 and 1,443,970.13

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Solution

The third proportional to 695,339.44 and 1,443,970.13 is: 2,998,607.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,339.44 : 1,443,970.13 = 1,443,970.13 : x
  2. Step 2: Convert to fraction form
    695,339.44/1,443,970.13 = 1,443,970.13/x
  3. Step 3: Cross multiply
    695,339.44x = 1,443,970.13 × 1,443,970.13
  4. Step 4: Simplify right side
    695,339.44x = 2,085,049,721,892.52
  5. Step 5: Solve for x
    x = 2,085,049,721,892.52/695,339.44
  6. Step 6: Final answer
    x = 2,998,607.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.