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Finding the Third Proportional to 592,502 and 894,039

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Solution

The third proportional to 592,502 and 894,039 is: 1,349,034.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,502 : 894,039 = 894,039 : x
  2. Step 2: Convert to fraction form
    592,502/894,039 = 894,039/x
  3. Step 3: Cross multiply
    592,502x = 894,039 × 894,039
  4. Step 4: Simplify right side
    592,502x = 799,305,733,521
  5. Step 5: Solve for x
    x = 799,305,733,521/592,502
  6. Step 6: Final answer
    x = 1,349,034.66

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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.