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Finding the Third Proportional to 610,434 and 898,009

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Solution

The third proportional to 610,434 and 898,009 is: 1,321,060.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,434 : 898,009 = 898,009 : x
  2. Step 2: Convert to fraction form
    610,434/898,009 = 898,009/x
  3. Step 3: Cross multiply
    610,434x = 898,009 × 898,009
  4. Step 4: Simplify right side
    610,434x = 806,420,164,081
  5. Step 5: Solve for x
    x = 806,420,164,081/610,434
  6. Step 6: Final answer
    x = 1,321,060.37

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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.