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Finding the Third Proportional to 2,077,741.13 and 4,442,743.69

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Solution

The third proportional to 2,077,741.13 and 4,442,743.69 is: 9,499,726.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077,741.13 : 4,442,743.69 = 4,442,743.69 : x
  2. Step 2: Convert to fraction form
    2,077,741.13/4,442,743.69 = 4,442,743.69/x
  3. Step 3: Cross multiply
    2,077,741.13x = 4,442,743.69 × 4,442,743.69
  4. Step 4: Simplify right side
    2,077,741.13x = 19,737,971,472,821.10
  5. Step 5: Solve for x
    x = 19,737,971,472,821.10/2,077,741.13
  6. Step 6: Final answer
    x = 9,499,726.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.