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Finding the Third Proportional to 409,957 and 898,888

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Solution

The third proportional to 409,957 and 898,888 is: 1,970,937.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,957 : 898,888 = 898,888 : x
  2. Step 2: Convert to fraction form
    409,957/898,888 = 898,888/x
  3. Step 3: Cross multiply
    409,957x = 898,888 × 898,888
  4. Step 4: Simplify right side
    409,957x = 807,999,636,544
  5. Step 5: Solve for x
    x = 807,999,636,544/409,957
  6. Step 6: Final answer
    x = 1,970,937.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.