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Finding the Third Proportional to 610,432 and 898,006

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Solution

The third proportional to 610,432 and 898,006 is: 1,321,055.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,432 : 898,006 = 898,006 : x
  2. Step 2: Convert to fraction form
    610,432/898,006 = 898,006/x
  3. Step 3: Cross multiply
    610,432x = 898,006 × 898,006
  4. Step 4: Simplify right side
    610,432x = 806,414,776,036
  5. Step 5: Solve for x
    x = 806,414,776,036/610,432
  6. Step 6: Final answer
    x = 1,321,055.87

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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.