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Finding the Third Proportional to 776,824 and 1,172,368

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Solution

The third proportional to 776,824 and 1,172,368 is: 1,769,315.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,824 : 1,172,368 = 1,172,368 : x
  2. Step 2: Convert to fraction form
    776,824/1,172,368 = 1,172,368/x
  3. Step 3: Cross multiply
    776,824x = 1,172,368 × 1,172,368
  4. Step 4: Simplify right side
    776,824x = 1,374,446,727,424
  5. Step 5: Solve for x
    x = 1,374,446,727,424/776,824
  6. Step 6: Final answer
    x = 1,769,315.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.