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Finding the Third Proportional to 614,557.13 and 1,341,198

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Solution

The third proportional to 614,557.13 and 1,341,198 is: 2,927,005.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,557.13 : 1,341,198 = 1,341,198 : x
  2. Step 2: Convert to fraction form
    614,557.13/1,341,198 = 1,341,198/x
  3. Step 3: Cross multiply
    614,557.13x = 1,341,198 × 1,341,198
  4. Step 4: Simplify right side
    614,557.13x = 1,798,812,075,204
  5. Step 5: Solve for x
    x = 1,798,812,075,204/614,557.13
  6. Step 6: Final answer
    x = 2,927,005.48

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