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Finding the Third Proportional to 591,953.63 and 1,278,631.13

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Solution

The third proportional to 591,953.63 and 1,278,631.13 is: 2,761,867.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,953.63 : 1,278,631.13 = 1,278,631.13 : x
  2. Step 2: Convert to fraction form
    591,953.63/1,278,631.13 = 1,278,631.13/x
  3. Step 3: Cross multiply
    591,953.63x = 1,278,631.13 × 1,278,631.13
  4. Step 4: Simplify right side
    591,953.63x = 1,634,897,553,818.77
  5. Step 5: Solve for x
    x = 1,634,897,553,818.77/591,953.63
  6. Step 6: Final answer
    x = 2,761,867.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.