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Finding the Third Proportional to 714,288 and 1,487,748

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Solution

The third proportional to 714,288 and 1,487,748 is: 3,098,741.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,288 : 1,487,748 = 1,487,748 : x
  2. Step 2: Convert to fraction form
    714,288/1,487,748 = 1,487,748/x
  3. Step 3: Cross multiply
    714,288x = 1,487,748 × 1,487,748
  4. Step 4: Simplify right side
    714,288x = 2,213,394,111,504
  5. Step 5: Solve for x
    x = 2,213,394,111,504/714,288
  6. Step 6: Final answer
    x = 3,098,741.84

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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.