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Finding the Third Proportional to 762,430.50 and 1,657,647

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Solution

The third proportional to 762,430.50 and 1,657,647 is: 3,603,992.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,430.50 : 1,657,647 = 1,657,647 : x
  2. Step 2: Convert to fraction form
    762,430.50/1,657,647 = 1,657,647/x
  3. Step 3: Cross multiply
    762,430.50x = 1,657,647 × 1,657,647
  4. Step 4: Simplify right side
    762,430.50x = 2,747,793,576,609
  5. Step 5: Solve for x
    x = 2,747,793,576,609/762,430.50
  6. Step 6: Final answer
    x = 3,603,992.20

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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.