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Finding the Third Proportional to 423,341.44 and 913,114.69

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Solution

The third proportional to 423,341.44 and 913,114.69 is: 1,969,517.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,341.44 : 913,114.69 = 913,114.69 : x
  2. Step 2: Convert to fraction form
    423,341.44/913,114.69 = 913,114.69/x
  3. Step 3: Cross multiply
    423,341.44x = 913,114.69 × 913,114.69
  4. Step 4: Simplify right side
    423,341.44x = 833,778,432,528.22
  5. Step 5: Solve for x
    x = 833,778,432,528.22/423,341.44
  6. Step 6: Final answer
    x = 1,969,517.65

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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.