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Finding the Third Proportional to 722,784 and 1,073,712

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Solution

The third proportional to 722,784 and 1,073,712 is: 1,595,023.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,784 : 1,073,712 = 1,073,712 : x
  2. Step 2: Convert to fraction form
    722,784/1,073,712 = 1,073,712/x
  3. Step 3: Cross multiply
    722,784x = 1,073,712 × 1,073,712
  4. Step 4: Simplify right side
    722,784x = 1,152,857,458,944
  5. Step 5: Solve for x
    x = 1,152,857,458,944/722,784
  6. Step 6: Final answer
    x = 1,595,023.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.