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Finding the Third Proportional to 932,768 and 1,977,631

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Solution

The third proportional to 932,768 and 1,977,631 is: 4,192,922.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,768 : 1,977,631 = 1,977,631 : x
  2. Step 2: Convert to fraction form
    932,768/1,977,631 = 1,977,631/x
  3. Step 3: Cross multiply
    932,768x = 1,977,631 × 1,977,631
  4. Step 4: Simplify right side
    932,768x = 3,911,024,372,161
  5. Step 5: Solve for x
    x = 3,911,024,372,161/932,768
  6. Step 6: Final answer
    x = 4,192,922.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.