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Finding the Third Proportional to 702,319.78 and 1,541,341.83

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Solution

The third proportional to 702,319.78 and 1,541,341.83 is: 3,382,696.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,319.78 : 1,541,341.83 = 1,541,341.83 : x
  2. Step 2: Convert to fraction form
    702,319.78/1,541,341.83 = 1,541,341.83/x
  3. Step 3: Cross multiply
    702,319.78x = 1,541,341.83 × 1,541,341.83
  4. Step 4: Simplify right side
    702,319.78x = 2,375,734,631,127.72
  5. Step 5: Solve for x
    x = 2,375,734,631,127.72/702,319.78
  6. Step 6: Final answer
    x = 3,382,696.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.