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Finding the Third Proportional to 724,712 and 1,197,768

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Solution

The third proportional to 724,712 and 1,197,768 is: 1,979,611.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,712 : 1,197,768 = 1,197,768 : x
  2. Step 2: Convert to fraction form
    724,712/1,197,768 = 1,197,768/x
  3. Step 3: Cross multiply
    724,712x = 1,197,768 × 1,197,768
  4. Step 4: Simplify right side
    724,712x = 1,434,648,181,824
  5. Step 5: Solve for x
    x = 1,434,648,181,824/724,712
  6. Step 6: Final answer
    x = 1,979,611.46

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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.