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Finding the Third Proportional to 756,082.69 and 1,197,802.69

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Solution

The third proportional to 756,082.69 and 1,197,802.69 is: 1,897,585.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,082.69 : 1,197,802.69 = 1,197,802.69 : x
  2. Step 2: Convert to fraction form
    756,082.69/1,197,802.69 = 1,197,802.69/x
  3. Step 3: Cross multiply
    756,082.69x = 1,197,802.69 × 1,197,802.69
  4. Step 4: Simplify right side
    756,082.69x = 1,434,731,278,182.22
  5. Step 5: Solve for x
    x = 1,434,731,278,182.22/756,082.69
  6. Step 6: Final answer
    x = 1,897,585.15

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.