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Finding the Third Proportional to 762,580 and 1,657,976

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Solution

The third proportional to 762,580 and 1,657,976 is: 3,604,716.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,580 : 1,657,976 = 1,657,976 : x
  2. Step 2: Convert to fraction form
    762,580/1,657,976 = 1,657,976/x
  3. Step 3: Cross multiply
    762,580x = 1,657,976 × 1,657,976
  4. Step 4: Simplify right side
    762,580x = 2,748,884,416,576
  5. Step 5: Solve for x
    x = 2,748,884,416,576/762,580
  6. Step 6: Final answer
    x = 3,604,716.12

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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.