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Finding the Third Proportional to 2,056,550 and 4,456,321

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Solution

The third proportional to 2,056,550 and 4,456,321 is: 9,656,364.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056,550 : 4,456,321 = 4,456,321 : x
  2. Step 2: Convert to fraction form
    2,056,550/4,456,321 = 4,456,321/x
  3. Step 3: Cross multiply
    2,056,550x = 4,456,321 × 4,456,321
  4. Step 4: Simplify right side
    2,056,550x = 19,858,796,855,041
  5. Step 5: Solve for x
    x = 19,858,796,855,041/2,056,550
  6. Step 6: Final answer
    x = 9,656,364.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.