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Finding the Third Proportional to 630,261 and 906,024

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Solution

The third proportional to 630,261 and 906,024 is: 1,302,443.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,261 : 906,024 = 906,024 : x
  2. Step 2: Convert to fraction form
    630,261/906,024 = 906,024/x
  3. Step 3: Cross multiply
    630,261x = 906,024 × 906,024
  4. Step 4: Simplify right side
    630,261x = 820,879,488,576
  5. Step 5: Solve for x
    x = 820,879,488,576/630,261
  6. Step 6: Final answer
    x = 1,302,443.73

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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.