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Finding the Third Proportional to 2,176,392 and 4,738,272

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Solution

The third proportional to 2,176,392 and 4,738,272 is: 10,315,798.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176,392 : 4,738,272 = 4,738,272 : x
  2. Step 2: Convert to fraction form
    2,176,392/4,738,272 = 4,738,272/x
  3. Step 3: Cross multiply
    2,176,392x = 4,738,272 × 4,738,272
  4. Step 4: Simplify right side
    2,176,392x = 22,451,221,545,984
  5. Step 5: Solve for x
    x = 22,451,221,545,984/2,176,392
  6. Step 6: Final answer
    x = 10,315,798.60

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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.