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Finding the Third Proportional to 1,397,814.47 and 3,057,339.94

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Solution

The third proportional to 1,397,814.47 and 3,057,339.94 is: 6,687,101.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397,814.47 : 3,057,339.94 = 3,057,339.94 : x
  2. Step 2: Convert to fraction form
    1,397,814.47/3,057,339.94 = 3,057,339.94/x
  3. Step 3: Cross multiply
    1,397,814.47x = 3,057,339.94 × 3,057,339.94
  4. Step 4: Simplify right side
    1,397,814.47x = 9,347,327,493,432.50
  5. Step 5: Solve for x
    x = 9,347,327,493,432.50/1,397,814.47
  6. Step 6: Final answer
    x = 6,687,101.69

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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.