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Finding the Third Proportional to 1,313,473 and 2,836,514

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Solution

The third proportional to 1,313,473 and 2,836,514 is: 6,125,601.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313,473 : 2,836,514 = 2,836,514 : x
  2. Step 2: Convert to fraction form
    1,313,473/2,836,514 = 2,836,514/x
  3. Step 3: Cross multiply
    1,313,473x = 2,836,514 × 2,836,514
  4. Step 4: Simplify right side
    1,313,473x = 8,045,811,672,196
  5. Step 5: Solve for x
    x = 8,045,811,672,196/1,313,473
  6. Step 6: Final answer
    x = 6,125,601.11

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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.