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Finding the Third Proportional to 767,788 and 1,204,321

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Solution

The third proportional to 767,788 and 1,204,321 is: 1,889,048.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,788 : 1,204,321 = 1,204,321 : x
  2. Step 2: Convert to fraction form
    767,788/1,204,321 = 1,204,321/x
  3. Step 3: Cross multiply
    767,788x = 1,204,321 × 1,204,321
  4. Step 4: Simplify right side
    767,788x = 1,450,389,071,041
  5. Step 5: Solve for x
    x = 1,450,389,071,041/767,788
  6. Step 6: Final answer
    x = 1,889,048.89

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.