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Finding the Third Proportional to 466,498 and 1,017,408

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Solution

The third proportional to 466,498 and 1,017,408 is: 2,218,914.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,498 : 1,017,408 = 1,017,408 : x
  2. Step 2: Convert to fraction form
    466,498/1,017,408 = 1,017,408/x
  3. Step 3: Cross multiply
    466,498x = 1,017,408 × 1,017,408
  4. Step 4: Simplify right side
    466,498x = 1,035,119,038,464
  5. Step 5: Solve for x
    x = 1,035,119,038,464/466,498
  6. Step 6: Final answer
    x = 2,218,914.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.