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Finding the Third Proportional to 897,365 and 1,920,850

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Solution

The third proportional to 897,365 and 1,920,850 is: 4,111,665.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,365 : 1,920,850 = 1,920,850 : x
  2. Step 2: Convert to fraction form
    897,365/1,920,850 = 1,920,850/x
  3. Step 3: Cross multiply
    897,365x = 1,920,850 × 1,920,850
  4. Step 4: Simplify right side
    897,365x = 3,689,664,722,500
  5. Step 5: Solve for x
    x = 3,689,664,722,500/897,365
  6. Step 6: Final answer
    x = 4,111,665.51

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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.