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Finding the Third Proportional to 1,339,416 and 2,891,280

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Solution

The third proportional to 1,339,416 and 2,891,280 is: 6,241,152.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339,416 : 2,891,280 = 2,891,280 : x
  2. Step 2: Convert to fraction form
    1,339,416/2,891,280 = 2,891,280/x
  3. Step 3: Cross multiply
    1,339,416x = 2,891,280 × 2,891,280
  4. Step 4: Simplify right side
    1,339,416x = 8,359,500,038,400
  5. Step 5: Solve for x
    x = 8,359,500,038,400/1,339,416
  6. Step 6: Final answer
    x = 6,241,152.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.