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Finding the Third Proportional to 1,294,728.75 and 1,960,087.13

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Solution

The third proportional to 1,294,728.75 and 1,960,087.13 is: 2,967,371.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,728.75 : 1,960,087.13 = 1,960,087.13 : x
  2. Step 2: Convert to fraction form
    1,294,728.75/1,960,087.13 = 1,960,087.13/x
  3. Step 3: Cross multiply
    1,294,728.75x = 1,960,087.13 × 1,960,087.13
  4. Step 4: Simplify right side
    1,294,728.75x = 3,841,941,537,590.77
  5. Step 5: Solve for x
    x = 3,841,941,537,590.77/1,294,728.75
  6. Step 6: Final answer
    x = 2,967,371.77

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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.