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Finding the Third Proportional to 1,106,451 and 1,652,593.50

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Solution

The third proportional to 1,106,451 and 1,652,593.50 is: 2,468,311.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106,451 : 1,652,593.50 = 1,652,593.50 : x
  2. Step 2: Convert to fraction form
    1,106,451/1,652,593.50 = 1,652,593.50/x
  3. Step 3: Cross multiply
    1,106,451x = 1,652,593.50 × 1,652,593.50
  4. Step 4: Simplify right side
    1,106,451x = 2,731,065,276,242.25
  5. Step 5: Solve for x
    x = 2,731,065,276,242.25/1,106,451
  6. Step 6: Final answer
    x = 2,468,311.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.