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Finding the Third Proportional to 614,467 and 1,258,452

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Solution

The third proportional to 614,467 and 1,258,452 is: 2,577,358.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,467 : 1,258,452 = 1,258,452 : x
  2. Step 2: Convert to fraction form
    614,467/1,258,452 = 1,258,452/x
  3. Step 3: Cross multiply
    614,467x = 1,258,452 × 1,258,452
  4. Step 4: Simplify right side
    614,467x = 1,583,701,436,304
  5. Step 5: Solve for x
    x = 1,583,701,436,304/614,467
  6. Step 6: Final answer
    x = 2,577,358.00

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.