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Finding the Third Proportional to 1,317,498 and 2,834,724

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Solution

The third proportional to 1,317,498 and 2,834,724 is: 6,099,182.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317,498 : 2,834,724 = 2,834,724 : x
  2. Step 2: Convert to fraction form
    1,317,498/2,834,724 = 2,834,724/x
  3. Step 3: Cross multiply
    1,317,498x = 2,834,724 × 2,834,724
  4. Step 4: Simplify right side
    1,317,498x = 8,035,660,156,176
  5. Step 5: Solve for x
    x = 8,035,660,156,176/1,317,498
  6. Step 6: Final answer
    x = 6,099,182.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.