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Finding the Third Proportional to 803,449.13 and 1,243,514.53

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Solution

The third proportional to 803,449.13 and 1,243,514.53 is: 1,924,612.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,449.13 : 1,243,514.53 = 1,243,514.53 : x
  2. Step 2: Convert to fraction form
    803,449.13/1,243,514.53 = 1,243,514.53/x
  3. Step 3: Cross multiply
    803,449.13x = 1,243,514.53 × 1,243,514.53
  4. Step 4: Simplify right side
    803,449.13x = 1,546,328,389,429.91
  5. Step 5: Solve for x
    x = 1,546,328,389,429.91/803,449.13
  6. Step 6: Final answer
    x = 1,924,612.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.