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Finding the Third Proportional to 714,168 and 1,487,519

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Solution

The third proportional to 714,168 and 1,487,519 is: 3,098,308.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,168 : 1,487,519 = 1,487,519 : x
  2. Step 2: Convert to fraction form
    714,168/1,487,519 = 1,487,519/x
  3. Step 3: Cross multiply
    714,168x = 1,487,519 × 1,487,519
  4. Step 4: Simplify right side
    714,168x = 2,212,712,775,361
  5. Step 5: Solve for x
    x = 2,212,712,775,361/714,168
  6. Step 6: Final answer
    x = 3,098,308.49

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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.