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Finding the Third Proportional to 1,272,034.13 and 2,768,320.55

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Solution

The third proportional to 1,272,034.13 and 2,768,320.55 is: 6,024,680.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272,034.13 : 2,768,320.55 = 2,768,320.55 : x
  2. Step 2: Convert to fraction form
    1,272,034.13/2,768,320.55 = 2,768,320.55/x
  3. Step 3: Cross multiply
    1,272,034.13x = 2,768,320.55 × 2,768,320.55
  4. Step 4: Simplify right side
    1,272,034.13x = 7,663,598,650,250.30
  5. Step 5: Solve for x
    x = 7,663,598,650,250.30/1,272,034.13
  6. Step 6: Final answer
    x = 6,024,680.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.