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Finding the Third Proportional to 578,612 and 894,126

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Solution

The third proportional to 578,612 and 894,126 is: 1,381,688.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,612 : 894,126 = 894,126 : x
  2. Step 2: Convert to fraction form
    578,612/894,126 = 894,126/x
  3. Step 3: Cross multiply
    578,612x = 894,126 × 894,126
  4. Step 4: Simplify right side
    578,612x = 799,461,303,876
  5. Step 5: Solve for x
    x = 799,461,303,876/578,612
  6. Step 6: Final answer
    x = 1,381,688.08

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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.