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Finding the Third Proportional to 464,316.25 and 1,005,919

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Solution

The third proportional to 464,316.25 and 1,005,919 is: 2,179,275.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,316.25 : 1,005,919 = 1,005,919 : x
  2. Step 2: Convert to fraction form
    464,316.25/1,005,919 = 1,005,919/x
  3. Step 3: Cross multiply
    464,316.25x = 1,005,919 × 1,005,919
  4. Step 4: Simplify right side
    464,316.25x = 1,011,873,034,561
  5. Step 5: Solve for x
    x = 1,011,873,034,561/464,316.25
  6. Step 6: Final answer
    x = 2,179,275.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.