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Finding the Third Proportional to 1,737,007.13 and 3,773,033.16

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Solution

The third proportional to 1,737,007.13 and 3,773,033.16 is: 8,195,579.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737,007.13 : 3,773,033.16 = 3,773,033.16 : x
  2. Step 2: Convert to fraction form
    1,737,007.13/3,773,033.16 = 3,773,033.16/x
  3. Step 3: Cross multiply
    1,737,007.13x = 3,773,033.16 × 3,773,033.16
  4. Step 4: Simplify right side
    1,737,007.13x = 14,235,779,198,161.84
  5. Step 5: Solve for x
    x = 14,235,779,198,161.84/1,737,007.13
  6. Step 6: Final answer
    x = 8,195,579.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.