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Finding the Third Proportional to 788,768 and 1,182,768

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Solution

The third proportional to 788,768 and 1,182,768 is: 1,773,576.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,768 : 1,182,768 = 1,182,768 : x
  2. Step 2: Convert to fraction form
    788,768/1,182,768 = 1,182,768/x
  3. Step 3: Cross multiply
    788,768x = 1,182,768 × 1,182,768
  4. Step 4: Simplify right side
    788,768x = 1,398,940,141,824
  5. Step 5: Solve for x
    x = 1,398,940,141,824/788,768
  6. Step 6: Final answer
    x = 1,773,576.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.