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Finding the Third Proportional to 2,224,518 and 4,856,784

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Solution

The third proportional to 2,224,518 and 4,856,784 is: 10,603,803.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224,518 : 4,856,784 = 4,856,784 : x
  2. Step 2: Convert to fraction form
    2,224,518/4,856,784 = 4,856,784/x
  3. Step 3: Cross multiply
    2,224,518x = 4,856,784 × 4,856,784
  4. Step 4: Simplify right side
    2,224,518x = 23,588,350,822,656
  5. Step 5: Solve for x
    x = 23,588,350,822,656/2,224,518
  6. Step 6: Final answer
    x = 10,603,803.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.