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Finding the Third Proportional to 592,724 and 919,164

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Solution

The third proportional to 592,724 and 919,164 is: 1,425,389.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,724 : 919,164 = 919,164 : x
  2. Step 2: Convert to fraction form
    592,724/919,164 = 919,164/x
  3. Step 3: Cross multiply
    592,724x = 919,164 × 919,164
  4. Step 4: Simplify right side
    592,724x = 844,862,458,896
  5. Step 5: Solve for x
    x = 844,862,458,896/592,724
  6. Step 6: Final answer
    x = 1,425,389.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.