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Finding the Third Proportional to 762,169.50 and 1,666,038.38

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Solution

The third proportional to 762,169.50 and 1,666,038.38 is: 3,641,819.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,169.50 : 1,666,038.38 = 1,666,038.38 : x
  2. Step 2: Convert to fraction form
    762,169.50/1,666,038.38 = 1,666,038.38/x
  3. Step 3: Cross multiply
    762,169.50x = 1,666,038.38 × 1,666,038.38
  4. Step 4: Simplify right side
    762,169.50x = 2,775,683,866,972.64
  5. Step 5: Solve for x
    x = 2,775,683,866,972.64/762,169.50
  6. Step 6: Final answer
    x = 3,641,819.66

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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.