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Finding the Third Proportional to 1,730,899.13 and 3,766,581

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Solution

The third proportional to 1,730,899.13 and 3,766,581 is: 8,196,394.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730,899.13 : 3,766,581 = 3,766,581 : x
  2. Step 2: Convert to fraction form
    1,730,899.13/3,766,581 = 3,766,581/x
  3. Step 3: Cross multiply
    1,730,899.13x = 3,766,581 × 3,766,581
  4. Step 4: Simplify right side
    1,730,899.13x = 14,187,132,429,561
  5. Step 5: Solve for x
    x = 14,187,132,429,561/1,730,899.13
  6. Step 6: Final answer
    x = 8,196,394.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.