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Finding the Third Proportional to 606,424 and 941,613

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Solution

The third proportional to 606,424 and 941,613 is: 1,462,071.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,424 : 941,613 = 941,613 : x
  2. Step 2: Convert to fraction form
    606,424/941,613 = 941,613/x
  3. Step 3: Cross multiply
    606,424x = 941,613 × 941,613
  4. Step 4: Simplify right side
    606,424x = 886,635,041,769
  5. Step 5: Solve for x
    x = 886,635,041,769/606,424
  6. Step 6: Final answer
    x = 1,462,071.16

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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.