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Finding the Third Proportional to 1,737,288 and 2,657,598

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Solution

The third proportional to 1,737,288 and 2,657,598 is: 4,065,432.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737,288 : 2,657,598 = 2,657,598 : x
  2. Step 2: Convert to fraction form
    1,737,288/2,657,598 = 2,657,598/x
  3. Step 3: Cross multiply
    1,737,288x = 2,657,598 × 2,657,598
  4. Step 4: Simplify right side
    1,737,288x = 7,062,827,129,604
  5. Step 5: Solve for x
    x = 7,062,827,129,604/1,737,288
  6. Step 6: Final answer
    x = 4,065,432.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.