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Finding the Third Proportional to 490,875.19 and 1,026,447.19

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Solution

The third proportional to 490,875.19 and 1,026,447.19 is: 2,146,357.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,875.19 : 1,026,447.19 = 1,026,447.19 : x
  2. Step 2: Convert to fraction form
    490,875.19/1,026,447.19 = 1,026,447.19/x
  3. Step 3: Cross multiply
    490,875.19x = 1,026,447.19 × 1,026,447.19
  4. Step 4: Simplify right side
    490,875.19x = 1,053,593,828,726.66
  5. Step 5: Solve for x
    x = 1,053,593,828,726.66/490,875.19
  6. Step 6: Final answer
    x = 2,146,357.88

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.