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Finding the Third Proportional to 968,456 and 1,600,524

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Solution

The third proportional to 968,456 and 1,600,524 is: 2,645,114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,456 : 1,600,524 = 1,600,524 : x
  2. Step 2: Convert to fraction form
    968,456/1,600,524 = 1,600,524/x
  3. Step 3: Cross multiply
    968,456x = 1,600,524 × 1,600,524
  4. Step 4: Simplify right side
    968,456x = 2,561,677,074,576
  5. Step 5: Solve for x
    x = 2,561,677,074,576/968,456
  6. Step 6: Final answer
    x = 2,645,114.57

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.