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Finding the Third Proportional to 2,148,486 and 3,107,086.50

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Solution

The third proportional to 2,148,486 and 3,107,086.50 is: 4,493,390.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148,486 : 3,107,086.50 = 3,107,086.50 : x
  2. Step 2: Convert to fraction form
    2,148,486/3,107,086.50 = 3,107,086.50/x
  3. Step 3: Cross multiply
    2,148,486x = 3,107,086.50 × 3,107,086.50
  4. Step 4: Simplify right side
    2,148,486x = 9,653,986,518,482.25
  5. Step 5: Solve for x
    x = 9,653,986,518,482.25/2,148,486
  6. Step 6: Final answer
    x = 4,493,390.47

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.