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Finding the Third Proportional to 630,538 and 884,772

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Solution

The third proportional to 630,538 and 884,772 is: 1,241,513.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,538 : 884,772 = 884,772 : x
  2. Step 2: Convert to fraction form
    630,538/884,772 = 884,772/x
  3. Step 3: Cross multiply
    630,538x = 884,772 × 884,772
  4. Step 4: Simplify right side
    630,538x = 782,821,491,984
  5. Step 5: Solve for x
    x = 782,821,491,984/630,538
  6. Step 6: Final answer
    x = 1,241,513.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.