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Finding the Third Proportional to 767,937 and 1,675,836

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Solution

The third proportional to 767,937 and 1,675,836 is: 3,657,105.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,937 : 1,675,836 = 1,675,836 : x
  2. Step 2: Convert to fraction form
    767,937/1,675,836 = 1,675,836/x
  3. Step 3: Cross multiply
    767,937x = 1,675,836 × 1,675,836
  4. Step 4: Simplify right side
    767,937x = 2,808,426,298,896
  5. Step 5: Solve for x
    x = 2,808,426,298,896/767,937
  6. Step 6: Final answer
    x = 3,657,105.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.