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Finding the Third Proportional to 1,292,744.81 and 1,957,114.41

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Solution

The third proportional to 1,292,744.81 and 1,957,114.41 is: 2,962,917.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292,744.81 : 1,957,114.41 = 1,957,114.41 : x
  2. Step 2: Convert to fraction form
    1,292,744.81/1,957,114.41 = 1,957,114.41/x
  3. Step 3: Cross multiply
    1,292,744.81x = 1,957,114.41 × 1,957,114.41
  4. Step 4: Simplify right side
    1,292,744.81x = 3,830,296,799,151.29
  5. Step 5: Solve for x
    x = 3,830,296,799,151.29/1,292,744.81
  6. Step 6: Final answer
    x = 2,962,917.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.