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Finding the Third Proportional to 415,208 and 896,998

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Solution

The third proportional to 415,208 and 896,998 is: 1,937,836.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,208 : 896,998 = 896,998 : x
  2. Step 2: Convert to fraction form
    415,208/896,998 = 896,998/x
  3. Step 3: Cross multiply
    415,208x = 896,998 × 896,998
  4. Step 4: Simplify right side
    415,208x = 804,605,412,004
  5. Step 5: Solve for x
    x = 804,605,412,004/415,208
  6. Step 6: Final answer
    x = 1,937,836.97

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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.