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Finding the Third Proportional to 610,254 and 919,836

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Solution

The third proportional to 610,254 and 919,836 is: 1,386,469.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,254 : 919,836 = 919,836 : x
  2. Step 2: Convert to fraction form
    610,254/919,836 = 919,836/x
  3. Step 3: Cross multiply
    610,254x = 919,836 × 919,836
  4. Step 4: Simplify right side
    610,254x = 846,098,266,896
  5. Step 5: Solve for x
    x = 846,098,266,896/610,254
  6. Step 6: Final answer
    x = 1,386,469.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.