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Finding the Third Proportional to 760,384 and 1,176,977

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Solution

The third proportional to 760,384 and 1,176,977 is: 1,821,809.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,384 : 1,176,977 = 1,176,977 : x
  2. Step 2: Convert to fraction form
    760,384/1,176,977 = 1,176,977/x
  3. Step 3: Cross multiply
    760,384x = 1,176,977 × 1,176,977
  4. Step 4: Simplify right side
    760,384x = 1,385,274,858,529
  5. Step 5: Solve for x
    x = 1,385,274,858,529/760,384
  6. Step 6: Final answer
    x = 1,821,809.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.