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Finding the Third Proportional to 1,226,097 and 1,821,649.50

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Solution

The third proportional to 1,226,097 and 1,821,649.50 is: 2,706,479.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226,097 : 1,821,649.50 = 1,821,649.50 : x
  2. Step 2: Convert to fraction form
    1,226,097/1,821,649.50 = 1,821,649.50/x
  3. Step 3: Cross multiply
    1,226,097x = 1,821,649.50 × 1,821,649.50
  4. Step 4: Simplify right side
    1,226,097x = 3,318,406,900,850.25
  5. Step 5: Solve for x
    x = 3,318,406,900,850.25/1,226,097
  6. Step 6: Final answer
    x = 2,706,479.91

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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.