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Finding the Third Proportional to 630,056 and 968,412

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Solution

The third proportional to 630,056 and 968,412 is: 1,488,473.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,056 : 968,412 = 968,412 : x
  2. Step 2: Convert to fraction form
    630,056/968,412 = 968,412/x
  3. Step 3: Cross multiply
    630,056x = 968,412 × 968,412
  4. Step 4: Simplify right side
    630,056x = 937,821,801,744
  5. Step 5: Solve for x
    x = 937,821,801,744/630,056
  6. Step 6: Final answer
    x = 1,488,473.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.