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Finding the Third Proportional to 610,435 and 898,003

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Solution

The third proportional to 610,435 and 898,003 is: 1,321,040.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,435 : 898,003 = 898,003 : x
  2. Step 2: Convert to fraction form
    610,435/898,003 = 898,003/x
  3. Step 3: Cross multiply
    610,435x = 898,003 × 898,003
  4. Step 4: Simplify right side
    610,435x = 806,409,388,009
  5. Step 5: Solve for x
    x = 806,409,388,009/610,435
  6. Step 6: Final answer
    x = 1,321,040.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.