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Finding the Third Proportional to 924,853.25 and 1,452,842.89

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Solution

The third proportional to 924,853.25 and 1,452,842.89 is: 2,282,256.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,853.25 : 1,452,842.89 = 1,452,842.89 : x
  2. Step 2: Convert to fraction form
    924,853.25/1,452,842.89 = 1,452,842.89/x
  3. Step 3: Cross multiply
    924,853.25x = 1,452,842.89 × 1,452,842.89
  4. Step 4: Simplify right side
    924,853.25x = 2,110,752,476,189.80
  5. Step 5: Solve for x
    x = 2,110,752,476,189.80/924,853.25
  6. Step 6: Final answer
    x = 2,282,256.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.