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Finding the Third Proportional to 897,408 and 1,920,957.75

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Solution

The third proportional to 897,408 and 1,920,957.75 is: 4,111,929.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,408 : 1,920,957.75 = 1,920,957.75 : x
  2. Step 2: Convert to fraction form
    897,408/1,920,957.75 = 1,920,957.75/x
  3. Step 3: Cross multiply
    897,408x = 1,920,957.75 × 1,920,957.75
  4. Step 4: Simplify right side
    897,408x = 3,690,078,677,285.06
  5. Step 5: Solve for x
    x = 3,690,078,677,285.06/897,408
  6. Step 6: Final answer
    x = 4,111,929.78

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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.