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Finding the Third Proportional to 3,043,890.14 and 4,569,839.02

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Solution

The third proportional to 3,043,890.14 and 4,569,839.02 is: 6,860,769.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043,890.14 : 4,569,839.02 = 4,569,839.02 : x
  2. Step 2: Convert to fraction form
    3,043,890.14/4,569,839.02 = 4,569,839.02/x
  3. Step 3: Cross multiply
    3,043,890.14x = 4,569,839.02 × 4,569,839.02
  4. Step 4: Simplify right side
    3,043,890.14x = 20,883,428,628,728.47
  5. Step 5: Solve for x
    x = 20,883,428,628,728.47/3,043,890.14
  6. Step 6: Final answer
    x = 6,860,769.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.