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Finding the Third Proportional to 610,594 and 898,223

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Solution

The third proportional to 610,594 and 898,223 is: 1,321,343.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,594 : 898,223 = 898,223 : x
  2. Step 2: Convert to fraction form
    610,594/898,223 = 898,223/x
  3. Step 3: Cross multiply
    610,594x = 898,223 × 898,223
  4. Step 4: Simplify right side
    610,594x = 806,804,557,729
  5. Step 5: Solve for x
    x = 806,804,557,729/610,594
  6. Step 6: Final answer
    x = 1,321,343.74

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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.