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Finding the Third Proportional to 614,827.13 and 1,351,674

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Solution

The third proportional to 614,827.13 and 1,351,674 is: 2,971,603.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,827.13 : 1,351,674 = 1,351,674 : x
  2. Step 2: Convert to fraction form
    614,827.13/1,351,674 = 1,351,674/x
  3. Step 3: Cross multiply
    614,827.13x = 1,351,674 × 1,351,674
  4. Step 4: Simplify right side
    614,827.13x = 1,827,022,602,276
  5. Step 5: Solve for x
    x = 1,827,022,602,276/614,827.13
  6. Step 6: Final answer
    x = 2,971,603.77

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.