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Finding the Third Proportional to 1,737,280 and 2,657,586

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Solution

The third proportional to 1,737,280 and 2,657,586 is: 4,065,414.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737,280 : 2,657,586 = 2,657,586 : x
  2. Step 2: Convert to fraction form
    1,737,280/2,657,586 = 2,657,586/x
  3. Step 3: Cross multiply
    1,737,280x = 2,657,586 × 2,657,586
  4. Step 4: Simplify right side
    1,737,280x = 7,062,763,347,396
  5. Step 5: Solve for x
    x = 7,062,763,347,396/1,737,280
  6. Step 6: Final answer
    x = 4,065,414.53

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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.