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Finding the Third Proportional to 708,876 and 1,076,427

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Solution

The third proportional to 708,876 and 1,076,427 is: 1,634,552.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,876 : 1,076,427 = 1,076,427 : x
  2. Step 2: Convert to fraction form
    708,876/1,076,427 = 1,076,427/x
  3. Step 3: Cross multiply
    708,876x = 1,076,427 × 1,076,427
  4. Step 4: Simplify right side
    708,876x = 1,158,695,086,329
  5. Step 5: Solve for x
    x = 1,158,695,086,329/708,876
  6. Step 6: Final answer
    x = 1,634,552.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.