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Finding the Third Proportional to 2,220,164 and 4,851,208

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Solution

The third proportional to 2,220,164 and 4,851,208 is: 10,600,216.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,220,164 : 4,851,208 = 4,851,208 : x
  2. Step 2: Convert to fraction form
    2,220,164/4,851,208 = 4,851,208/x
  3. Step 3: Cross multiply
    2,220,164x = 4,851,208 × 4,851,208
  4. Step 4: Simplify right side
    2,220,164x = 23,534,219,059,264
  5. Step 5: Solve for x
    x = 23,534,219,059,264/2,220,164
  6. Step 6: Final answer
    x = 10,600,216.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.