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Finding the Third Proportional to 630,614 and 906,555

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Solution

The third proportional to 630,614 and 906,555 is: 1,303,240.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,614 : 906,555 = 906,555 : x
  2. Step 2: Convert to fraction form
    630,614/906,555 = 906,555/x
  3. Step 3: Cross multiply
    630,614x = 906,555 × 906,555
  4. Step 4: Simplify right side
    630,614x = 821,841,968,025
  5. Step 5: Solve for x
    x = 821,841,968,025/630,614
  6. Step 6: Final answer
    x = 1,303,240.92

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.