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Finding the Third Proportional to 415,657 and 896,212

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Solution

The third proportional to 415,657 and 896,212 is: 1,932,352.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,657 : 896,212 = 896,212 : x
  2. Step 2: Convert to fraction form
    415,657/896,212 = 896,212/x
  3. Step 3: Cross multiply
    415,657x = 896,212 × 896,212
  4. Step 4: Simplify right side
    415,657x = 803,195,948,944
  5. Step 5: Solve for x
    x = 803,195,948,944/415,657
  6. Step 6: Final answer
    x = 1,932,352.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.