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Finding the Third Proportional to 590,653 and 885,787

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Solution

The third proportional to 590,653 and 885,787 is: 1,328,391.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,653 : 885,787 = 885,787 : x
  2. Step 2: Convert to fraction form
    590,653/885,787 = 885,787/x
  3. Step 3: Cross multiply
    590,653x = 885,787 × 885,787
  4. Step 4: Simplify right side
    590,653x = 784,618,609,369
  5. Step 5: Solve for x
    x = 784,618,609,369/590,653
  6. Step 6: Final answer
    x = 1,328,391.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.