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Finding the Third Proportional to 777,566 and 1,617,190

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Solution

The third proportional to 777,566 and 1,617,190 is: 3,363,448.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,566 : 1,617,190 = 1,617,190 : x
  2. Step 2: Convert to fraction form
    777,566/1,617,190 = 1,617,190/x
  3. Step 3: Cross multiply
    777,566x = 1,617,190 × 1,617,190
  4. Step 4: Simplify right side
    777,566x = 2,615,303,496,100
  5. Step 5: Solve for x
    x = 2,615,303,496,100/777,566
  6. Step 6: Final answer
    x = 3,363,448.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.