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Finding the Third Proportional to 634,722 and 927,768

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Solution

The third proportional to 634,722 and 927,768 is: 1,356,110.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,722 : 927,768 = 927,768 : x
  2. Step 2: Convert to fraction form
    634,722/927,768 = 927,768/x
  3. Step 3: Cross multiply
    634,722x = 927,768 × 927,768
  4. Step 4: Simplify right side
    634,722x = 860,753,461,824
  5. Step 5: Solve for x
    x = 860,753,461,824/634,722
  6. Step 6: Final answer
    x = 1,356,110.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.