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Finding the Third Proportional to 1,146,569 and 2,387,246

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Solution

The third proportional to 1,146,569 and 2,387,246 is: 4,970,432.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146,569 : 2,387,246 = 2,387,246 : x
  2. Step 2: Convert to fraction form
    1,146,569/2,387,246 = 2,387,246/x
  3. Step 3: Cross multiply
    1,146,569x = 2,387,246 × 2,387,246
  4. Step 4: Simplify right side
    1,146,569x = 5,698,943,464,516
  5. Step 5: Solve for x
    x = 5,698,943,464,516/1,146,569
  6. Step 6: Final answer
    x = 4,970,432.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.