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Finding the Third Proportional to 409,959 and 898,892

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Solution

The third proportional to 409,959 and 898,892 is: 1,970,945.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,959 : 898,892 = 898,892 : x
  2. Step 2: Convert to fraction form
    409,959/898,892 = 898,892/x
  3. Step 3: Cross multiply
    409,959x = 898,892 × 898,892
  4. Step 4: Simplify right side
    409,959x = 808,006,827,664
  5. Step 5: Solve for x
    x = 808,006,827,664/409,959
  6. Step 6: Final answer
    x = 1,970,945.45

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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.