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Finding the Third Proportional to 766,336 and 1,642,657

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Solution

The third proportional to 766,336 and 1,642,657 is: 3,521,069.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,336 : 1,642,657 = 1,642,657 : x
  2. Step 2: Convert to fraction form
    766,336/1,642,657 = 1,642,657/x
  3. Step 3: Cross multiply
    766,336x = 1,642,657 × 1,642,657
  4. Step 4: Simplify right side
    766,336x = 2,698,322,019,649
  5. Step 5: Solve for x
    x = 2,698,322,019,649/766,336
  6. Step 6: Final answer
    x = 3,521,069.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.