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Finding the Third Proportional to 771,840 and 1,192,752

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Solution

The third proportional to 771,840 and 1,192,752 is: 1,843,202.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,840 : 1,192,752 = 1,192,752 : x
  2. Step 2: Convert to fraction form
    771,840/1,192,752 = 1,192,752/x
  3. Step 3: Cross multiply
    771,840x = 1,192,752 × 1,192,752
  4. Step 4: Simplify right side
    771,840x = 1,422,657,333,504
  5. Step 5: Solve for x
    x = 1,422,657,333,504/771,840
  6. Step 6: Final answer
    x = 1,843,202.39

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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.