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Finding the Third Proportional to 450,709.95 and 972,540.11

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Solution

The third proportional to 450,709.95 and 972,540.11 is: 2,098,543.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,709.95 : 972,540.11 = 972,540.11 : x
  2. Step 2: Convert to fraction form
    450,709.95/972,540.11 = 972,540.11/x
  3. Step 3: Cross multiply
    450,709.95x = 972,540.11 × 972,540.11
  4. Step 4: Simplify right side
    450,709.95x = 945,834,256,745.17
  5. Step 5: Solve for x
    x = 945,834,256,745.17/450,709.95
  6. Step 6: Final answer
    x = 2,098,543.12

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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.