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Finding the Third Proportional to 435,313.13 and 914,690.25

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Solution

The third proportional to 435,313.13 and 914,690.25 is: 1,921,968.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,313.13 : 914,690.25 = 914,690.25 : x
  2. Step 2: Convert to fraction form
    435,313.13/914,690.25 = 914,690.25/x
  3. Step 3: Cross multiply
    435,313.13x = 914,690.25 × 914,690.25
  4. Step 4: Simplify right side
    435,313.13x = 836,658,253,445.06
  5. Step 5: Solve for x
    x = 836,658,253,445.06/435,313.13
  6. Step 6: Final answer
    x = 1,921,968.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.