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Finding the Third Proportional to 610,044 and 919,866

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Solution

The third proportional to 610,044 and 919,866 is: 1,387,036.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,044 : 919,866 = 919,866 : x
  2. Step 2: Convert to fraction form
    610,044/919,866 = 919,866/x
  3. Step 3: Cross multiply
    610,044x = 919,866 × 919,866
  4. Step 4: Simplify right side
    610,044x = 846,153,457,956
  5. Step 5: Solve for x
    x = 846,153,457,956/610,044
  6. Step 6: Final answer
    x = 1,387,036.77

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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.