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Finding the Third Proportional to 584,933.06 and 1,265,819.06

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Solution

The third proportional to 584,933.06 and 1,265,819.06 is: 2,739,284.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,933.06 : 1,265,819.06 = 1,265,819.06 : x
  2. Step 2: Convert to fraction form
    584,933.06/1,265,819.06 = 1,265,819.06/x
  3. Step 3: Cross multiply
    584,933.06x = 1,265,819.06 × 1,265,819.06
  4. Step 4: Simplify right side
    584,933.06x = 1,602,297,898,988.38
  5. Step 5: Solve for x
    x = 1,602,297,898,988.38/584,933.06
  6. Step 6: Final answer
    x = 2,739,284.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.