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Finding the Third Proportional to 1,532,430 and 3,251,657

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Solution

The third proportional to 1,532,430 and 3,251,657 is: 6,899,677.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532,430 : 3,251,657 = 3,251,657 : x
  2. Step 2: Convert to fraction form
    1,532,430/3,251,657 = 3,251,657/x
  3. Step 3: Cross multiply
    1,532,430x = 3,251,657 × 3,251,657
  4. Step 4: Simplify right side
    1,532,430x = 10,573,273,245,649
  5. Step 5: Solve for x
    x = 10,573,273,245,649/1,532,430
  6. Step 6: Final answer
    x = 6,899,677.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.