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Finding the Third Proportional to 898,228 and 1,914,044

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Solution

The third proportional to 898,228 and 1,914,044 is: 4,078,657.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,228 : 1,914,044 = 1,914,044 : x
  2. Step 2: Convert to fraction form
    898,228/1,914,044 = 1,914,044/x
  3. Step 3: Cross multiply
    898,228x = 1,914,044 × 1,914,044
  4. Step 4: Simplify right side
    898,228x = 3,663,564,433,936
  5. Step 5: Solve for x
    x = 3,663,564,433,936/898,228
  6. Step 6: Final answer
    x = 4,078,657.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.