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Finding the Third Proportional to 1,249,704 and 1,892,082.38

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Solution

The third proportional to 1,249,704 and 1,892,082.38 is: 2,864,658.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249,704 : 1,892,082.38 = 1,892,082.38 : x
  2. Step 2: Convert to fraction form
    1,249,704/1,892,082.38 = 1,892,082.38/x
  3. Step 3: Cross multiply
    1,249,704x = 1,892,082.38 × 1,892,082.38
  4. Step 4: Simplify right side
    1,249,704x = 3,579,975,713,785.64
  5. Step 5: Solve for x
    x = 3,579,975,713,785.64/1,249,704
  6. Step 6: Final answer
    x = 2,864,658.92

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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.