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Finding the Third Proportional to 1,547,979.75 and 2,276,469

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Solution

The third proportional to 1,547,979.75 and 2,276,469 is: 3,347,789.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547,979.75 : 2,276,469 = 2,276,469 : x
  2. Step 2: Convert to fraction form
    1,547,979.75/2,276,469 = 2,276,469/x
  3. Step 3: Cross multiply
    1,547,979.75x = 2,276,469 × 2,276,469
  4. Step 4: Simplify right side
    1,547,979.75x = 5,182,311,107,961
  5. Step 5: Solve for x
    x = 5,182,311,107,961/1,547,979.75
  6. Step 6: Final answer
    x = 3,347,789.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.