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Finding the Third Proportional to 714,157 and 1,487,498

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Solution

The third proportional to 714,157 and 1,487,498 is: 3,098,268.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,157 : 1,487,498 = 1,487,498 : x
  2. Step 2: Convert to fraction form
    714,157/1,487,498 = 1,487,498/x
  3. Step 3: Cross multiply
    714,157x = 1,487,498 × 1,487,498
  4. Step 4: Simplify right side
    714,157x = 2,212,650,300,004
  5. Step 5: Solve for x
    x = 2,212,650,300,004/714,157
  6. Step 6: Final answer
    x = 3,098,268.73

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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.