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Finding the Third Proportional to 1,284,463.13 and 2,000,215.69

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Solution

The third proportional to 1,284,463.13 and 2,000,215.69 is: 3,114,813.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284,463.13 : 2,000,215.69 = 2,000,215.69 : x
  2. Step 2: Convert to fraction form
    1,284,463.13/2,000,215.69 = 2,000,215.69/x
  3. Step 3: Cross multiply
    1,284,463.13x = 2,000,215.69 × 2,000,215.69
  4. Step 4: Simplify right side
    1,284,463.13x = 4,000,862,796,521.10
  5. Step 5: Solve for x
    x = 4,000,862,796,521.10/1,284,463.13
  6. Step 6: Final answer
    x = 3,114,813.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.