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Finding the Third Proportional to 1,224,231 and 1,900,210.50

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Solution

The third proportional to 1,224,231 and 1,900,210.50 is: 2,949,443.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224,231 : 1,900,210.50 = 1,900,210.50 : x
  2. Step 2: Convert to fraction form
    1,224,231/1,900,210.50 = 1,900,210.50/x
  3. Step 3: Cross multiply
    1,224,231x = 1,900,210.50 × 1,900,210.50
  4. Step 4: Simplify right side
    1,224,231x = 3,610,799,944,310.25
  5. Step 5: Solve for x
    x = 3,610,799,944,310.25/1,224,231
  6. Step 6: Final answer
    x = 2,949,443.32

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.