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Finding the Third Proportional to 758,160 and 1,609,632

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Solution

The third proportional to 758,160 and 1,609,632 is: 3,417,372.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,160 : 1,609,632 = 1,609,632 : x
  2. Step 2: Convert to fraction form
    758,160/1,609,632 = 1,609,632/x
  3. Step 3: Cross multiply
    758,160x = 1,609,632 × 1,609,632
  4. Step 4: Simplify right side
    758,160x = 2,590,915,175,424
  5. Step 5: Solve for x
    x = 2,590,915,175,424/758,160
  6. Step 6: Final answer
    x = 3,417,372.55

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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.