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Finding the Third Proportional to 2,428,386.50 and 3,563,847.75

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Solution

The third proportional to 2,428,386.50 and 3,563,847.75 is: 5,230,226.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428,386.50 : 3,563,847.75 = 3,563,847.75 : x
  2. Step 2: Convert to fraction form
    2,428,386.50/3,563,847.75 = 3,563,847.75/x
  3. Step 3: Cross multiply
    2,428,386.50x = 3,563,847.75 × 3,563,847.75
  4. Step 4: Simplify right side
    2,428,386.50x = 12,701,010,785,180.06
  5. Step 5: Solve for x
    x = 12,701,010,785,180.06/2,428,386.50
  6. Step 6: Final answer
    x = 5,230,226.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.