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Finding the Third Proportional to 610,440 and 898,012

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Solution

The third proportional to 610,440 and 898,012 is: 1,321,056.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,440 : 898,012 = 898,012 : x
  2. Step 2: Convert to fraction form
    610,440/898,012 = 898,012/x
  3. Step 3: Cross multiply
    610,440x = 898,012 × 898,012
  4. Step 4: Simplify right side
    610,440x = 806,425,552,144
  5. Step 5: Solve for x
    x = 806,425,552,144/610,440
  6. Step 6: Final answer
    x = 1,321,056.21

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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.