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Finding the Third Proportional to 2,275,434 and 4,874,724

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Solution

The third proportional to 2,275,434 and 4,874,724 is: 10,443,253.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275,434 : 4,874,724 = 4,874,724 : x
  2. Step 2: Convert to fraction form
    2,275,434/4,874,724 = 4,874,724/x
  3. Step 3: Cross multiply
    2,275,434x = 4,874,724 × 4,874,724
  4. Step 4: Simplify right side
    2,275,434x = 23,762,934,076,176
  5. Step 5: Solve for x
    x = 23,762,934,076,176/2,275,434
  6. Step 6: Final answer
    x = 10,443,253.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.