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Finding the Third Proportional to 1,069,368.33 and 2,377,825.24

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Solution

The third proportional to 1,069,368.33 and 2,377,825.24 is: 5,287,282.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069,368.33 : 2,377,825.24 = 2,377,825.24 : x
  2. Step 2: Convert to fraction form
    1,069,368.33/2,377,825.24 = 2,377,825.24/x
  3. Step 3: Cross multiply
    1,069,368.33x = 2,377,825.24 × 2,377,825.24
  4. Step 4: Simplify right side
    1,069,368.33x = 5,654,052,882,384.04
  5. Step 5: Solve for x
    x = 5,654,052,882,384.04/1,069,368.33
  6. Step 6: Final answer
    x = 5,287,282.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.