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Finding the Third Proportional to 1,315,746 and 2,834,514

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Solution

The third proportional to 1,315,746 and 2,834,514 is: 6,106,398.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315,746 : 2,834,514 = 2,834,514 : x
  2. Step 2: Convert to fraction form
    1,315,746/2,834,514 = 2,834,514/x
  3. Step 3: Cross multiply
    1,315,746x = 2,834,514 × 2,834,514
  4. Step 4: Simplify right side
    1,315,746x = 8,034,469,616,196
  5. Step 5: Solve for x
    x = 8,034,469,616,196/1,315,746
  6. Step 6: Final answer
    x = 6,106,398.66

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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.