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Finding the Third Proportional to 714,160 and 1,487,504

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Solution

The third proportional to 714,160 and 1,487,504 is: 3,098,280.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,160 : 1,487,504 = 1,487,504 : x
  2. Step 2: Convert to fraction form
    714,160/1,487,504 = 1,487,504/x
  3. Step 3: Cross multiply
    714,160x = 1,487,504 × 1,487,504
  4. Step 4: Simplify right side
    714,160x = 2,212,668,150,016
  5. Step 5: Solve for x
    x = 2,212,668,150,016/714,160
  6. Step 6: Final answer
    x = 3,098,280.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.