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Finding the Third Proportional to 651,696.47 and 1,419,243.19

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Solution

The third proportional to 651,696.47 and 1,419,243.19 is: 3,090,781.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,696.47 : 1,419,243.19 = 1,419,243.19 : x
  2. Step 2: Convert to fraction form
    651,696.47/1,419,243.19 = 1,419,243.19/x
  3. Step 3: Cross multiply
    651,696.47x = 1,419,243.19 × 1,419,243.19
  4. Step 4: Simplify right side
    651,696.47x = 2,014,251,225,265.16
  5. Step 5: Solve for x
    x = 2,014,251,225,265.16/651,696.47
  6. Step 6: Final answer
    x = 3,090,781.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.