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Finding the Third Proportional to 578,610 and 894,123

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Solution

The third proportional to 578,610 and 894,123 is: 1,381,683.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,610 : 894,123 = 894,123 : x
  2. Step 2: Convert to fraction form
    578,610/894,123 = 894,123/x
  3. Step 3: Cross multiply
    578,610x = 894,123 × 894,123
  4. Step 4: Simplify right side
    578,610x = 799,455,939,129
  5. Step 5: Solve for x
    x = 799,455,939,129/578,610
  6. Step 6: Final answer
    x = 1,381,683.59

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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.