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Finding the Third Proportional to 614,414 and 953,971

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Solution

The third proportional to 614,414 and 953,971 is: 1,481,184.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,414 : 953,971 = 953,971 : x
  2. Step 2: Convert to fraction form
    614,414/953,971 = 953,971/x
  3. Step 3: Cross multiply
    614,414x = 953,971 × 953,971
  4. Step 4: Simplify right side
    614,414x = 910,060,668,841
  5. Step 5: Solve for x
    x = 910,060,668,841/614,414
  6. Step 6: Final answer
    x = 1,481,184.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.