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Finding the Third Proportional to 1,000,297.13 and 2,360,226.38

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Solution

The third proportional to 1,000,297.13 and 2,360,226.38 is: 5,569,013.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,297.13 : 2,360,226.38 = 2,360,226.38 : x
  2. Step 2: Convert to fraction form
    1,000,297.13/2,360,226.38 = 2,360,226.38/x
  3. Step 3: Cross multiply
    1,000,297.13x = 2,360,226.38 × 2,360,226.38
  4. Step 4: Simplify right side
    1,000,297.13x = 5,570,668,541,245.64
  5. Step 5: Solve for x
    x = 5,570,668,541,245.64/1,000,297.13
  6. Step 6: Final answer
    x = 5,569,013.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.