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Finding the Third Proportional to 898,294.23 and 1,358,158.86

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Solution

The third proportional to 898,294.23 and 1,358,158.86 is: 2,053,442.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,294.23 : 1,358,158.86 = 1,358,158.86 : x
  2. Step 2: Convert to fraction form
    898,294.23/1,358,158.86 = 1,358,158.86/x
  3. Step 3: Cross multiply
    898,294.23x = 1,358,158.86 × 1,358,158.86
  4. Step 4: Simplify right side
    898,294.23x = 1,844,595,483,982.99
  5. Step 5: Solve for x
    x = 1,844,595,483,982.99/898,294.23
  6. Step 6: Final answer
    x = 2,053,442.42

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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.