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Finding the Third Proportional to 762,427.69 and 1,657,720.69

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Solution

The third proportional to 762,427.69 and 1,657,720.69 is: 3,604,325.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,427.69 : 1,657,720.69 = 1,657,720.69 : x
  2. Step 2: Convert to fraction form
    762,427.69/1,657,720.69 = 1,657,720.69/x
  3. Step 3: Cross multiply
    762,427.69x = 1,657,720.69 × 1,657,720.69
  4. Step 4: Simplify right side
    762,427.69x = 2,748,037,877,765.47
  5. Step 5: Solve for x
    x = 2,748,037,877,765.47/762,427.69
  6. Step 6: Final answer
    x = 3,604,325.92

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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.