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Finding the Third Proportional to 593,131 and 898,013

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Solution

The third proportional to 593,131 and 898,013 is: 1,359,610.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,131 : 898,013 = 898,013 : x
  2. Step 2: Convert to fraction form
    593,131/898,013 = 898,013/x
  3. Step 3: Cross multiply
    593,131x = 898,013 × 898,013
  4. Step 4: Simplify right side
    593,131x = 806,427,348,169
  5. Step 5: Solve for x
    x = 806,427,348,169/593,131
  6. Step 6: Final answer
    x = 1,359,610.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.