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Finding the Third Proportional to 768,854 and 1,183,373

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Solution

The third proportional to 768,854 and 1,183,373 is: 1,821,375.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,854 : 1,183,373 = 1,183,373 : x
  2. Step 2: Convert to fraction form
    768,854/1,183,373 = 1,183,373/x
  3. Step 3: Cross multiply
    768,854x = 1,183,373 × 1,183,373
  4. Step 4: Simplify right side
    768,854x = 1,400,371,657,129
  5. Step 5: Solve for x
    x = 1,400,371,657,129/768,854
  6. Step 6: Final answer
    x = 1,821,375.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.