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Finding the Third Proportional to 866,346 and 1,346,643

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Solution

The third proportional to 866,346 and 1,346,643 is: 2,093,213.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,346 : 1,346,643 = 1,346,643 : x
  2. Step 2: Convert to fraction form
    866,346/1,346,643 = 1,346,643/x
  3. Step 3: Cross multiply
    866,346x = 1,346,643 × 1,346,643
  4. Step 4: Simplify right side
    866,346x = 1,813,447,369,449
  5. Step 5: Solve for x
    x = 1,813,447,369,449/866,346
  6. Step 6: Final answer
    x = 2,093,213.76

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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.