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Finding the Third Proportional to 1,267,508.25 and 1,726,302.38

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Solution

The third proportional to 1,267,508.25 and 1,726,302.38 is: 2,351,164.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267,508.25 : 1,726,302.38 = 1,726,302.38 : x
  2. Step 2: Convert to fraction form
    1,267,508.25/1,726,302.38 = 1,726,302.38/x
  3. Step 3: Cross multiply
    1,267,508.25x = 1,726,302.38 × 1,726,302.38
  4. Step 4: Simplify right side
    1,267,508.25x = 2,980,119,889,930.64
  5. Step 5: Solve for x
    x = 2,980,119,889,930.64/1,267,508.25
  6. Step 6: Final answer
    x = 2,351,164.10

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.