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Finding the Third Proportional to 415,688 and 897,796

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Solution

The third proportional to 415,688 and 897,796 is: 1,939,044.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,688 : 897,796 = 897,796 : x
  2. Step 2: Convert to fraction form
    415,688/897,796 = 897,796/x
  3. Step 3: Cross multiply
    415,688x = 897,796 × 897,796
  4. Step 4: Simplify right side
    415,688x = 806,037,657,616
  5. Step 5: Solve for x
    x = 806,037,657,616/415,688
  6. Step 6: Final answer
    x = 1,939,044.81

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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.