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Finding the Third Proportional to 997,768 and 1,773,920

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Solution

The third proportional to 997,768 and 1,773,920 is: 3,153,831.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,768 : 1,773,920 = 1,773,920 : x
  2. Step 2: Convert to fraction form
    997,768/1,773,920 = 1,773,920/x
  3. Step 3: Cross multiply
    997,768x = 1,773,920 × 1,773,920
  4. Step 4: Simplify right side
    997,768x = 3,146,792,166,400
  5. Step 5: Solve for x
    x = 3,146,792,166,400/997,768
  6. Step 6: Final answer
    x = 3,153,831.52

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.