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Finding the Third Proportional to 897,405 and 1,920,951.75

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Solution

The third proportional to 897,405 and 1,920,951.75 is: 4,111,917.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,405 : 1,920,951.75 = 1,920,951.75 : x
  2. Step 2: Convert to fraction form
    897,405/1,920,951.75 = 1,920,951.75/x
  3. Step 3: Cross multiply
    897,405x = 1,920,951.75 × 1,920,951.75
  4. Step 4: Simplify right side
    897,405x = 3,690,055,625,828.06
  5. Step 5: Solve for x
    x = 3,690,055,625,828.06/897,405
  6. Step 6: Final answer
    x = 4,111,917.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.