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Finding the Third Proportional to 610,821 and 928,863

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Solution

The third proportional to 610,821 and 928,863 is: 1,412,502.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,821 : 928,863 = 928,863 : x
  2. Step 2: Convert to fraction form
    610,821/928,863 = 928,863/x
  3. Step 3: Cross multiply
    610,821x = 928,863 × 928,863
  4. Step 4: Simplify right side
    610,821x = 862,786,472,769
  5. Step 5: Solve for x
    x = 862,786,472,769/610,821
  6. Step 6: Final answer
    x = 1,412,502.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.