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Finding the Third Proportional to 1,397,418.75 and 2,103,123.75

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Solution

The third proportional to 1,397,418.75 and 2,103,123.75 is: 3,165,214.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397,418.75 : 2,103,123.75 = 2,103,123.75 : x
  2. Step 2: Convert to fraction form
    1,397,418.75/2,103,123.75 = 2,103,123.75/x
  3. Step 3: Cross multiply
    1,397,418.75x = 2,103,123.75 × 2,103,123.75
  4. Step 4: Simplify right side
    1,397,418.75x = 4,423,129,507,814.06
  5. Step 5: Solve for x
    x = 4,423,129,507,814.06/1,397,418.75
  6. Step 6: Final answer
    x = 3,165,214.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.