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Finding the Third Proportional to 762,090.19 and 1,044,991.13

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Solution

The third proportional to 762,090.19 and 1,044,991.13 is: 1,432,909.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,090.19 : 1,044,991.13 = 1,044,991.13 : x
  2. Step 2: Convert to fraction form
    762,090.19/1,044,991.13 = 1,044,991.13/x
  3. Step 3: Cross multiply
    762,090.19x = 1,044,991.13 × 1,044,991.13
  4. Step 4: Simplify right side
    762,090.19x = 1,092,006,451,328.77
  5. Step 5: Solve for x
    x = 1,092,006,451,328.77/762,090.19
  6. Step 6: Final answer
    x = 1,432,909.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.