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Finding the Third Proportional to 1,657,512.49 and 2,492,436.76

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Solution

The third proportional to 1,657,512.49 and 2,492,436.76 is: 3,747,930.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657,512.49 : 2,492,436.76 = 2,492,436.76 : x
  2. Step 2: Convert to fraction form
    1,657,512.49/2,492,436.76 = 2,492,436.76/x
  3. Step 3: Cross multiply
    1,657,512.49x = 2,492,436.76 × 2,492,436.76
  4. Step 4: Simplify right side
    1,657,512.49x = 6,212,241,011,167.30
  5. Step 5: Solve for x
    x = 6,212,241,011,167.30/1,657,512.49
  6. Step 6: Final answer
    x = 3,747,930.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.