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Finding the Third Proportional to 2,081,697.47 and 3,266,307.28

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Solution

The third proportional to 2,081,697.47 and 3,266,307.28 is: 5,125,030.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081,697.47 : 3,266,307.28 = 3,266,307.28 : x
  2. Step 2: Convert to fraction form
    2,081,697.47/3,266,307.28 = 3,266,307.28/x
  3. Step 3: Cross multiply
    2,081,697.47x = 3,266,307.28 × 3,266,307.28
  4. Step 4: Simplify right side
    2,081,697.47x = 10,668,763,255,546.77
  5. Step 5: Solve for x
    x = 10,668,763,255,546.77/2,081,697.47
  6. Step 6: Final answer
    x = 5,125,030.61

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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.