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Finding the Third Proportional to 610,548 and 898,164

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Solution

The third proportional to 610,548 and 898,164 is: 1,321,269.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,548 : 898,164 = 898,164 : x
  2. Step 2: Convert to fraction form
    610,548/898,164 = 898,164/x
  3. Step 3: Cross multiply
    610,548x = 898,164 × 898,164
  4. Step 4: Simplify right side
    610,548x = 806,698,570,896
  5. Step 5: Solve for x
    x = 806,698,570,896/610,548
  6. Step 6: Final answer
    x = 1,321,269.70

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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.