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Finding the Third Proportional to 1,574,245.13 and 2,229,418.69

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Solution

The third proportional to 1,574,245.13 and 2,229,418.69 is: 3,157,264.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574,245.13 : 2,229,418.69 = 2,229,418.69 : x
  2. Step 2: Convert to fraction form
    1,574,245.13/2,229,418.69 = 2,229,418.69/x
  3. Step 3: Cross multiply
    1,574,245.13x = 2,229,418.69 × 2,229,418.69
  4. Step 4: Simplify right side
    1,574,245.13x = 4,970,307,684,174.22
  5. Step 5: Solve for x
    x = 4,970,307,684,174.22/1,574,245.13
  6. Step 6: Final answer
    x = 3,157,264.14

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.