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Finding the Third Proportional to 2,771,644 and 5,926,321

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Solution

The third proportional to 2,771,644 and 5,926,321 is: 12,671,642.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771,644 : 5,926,321 = 5,926,321 : x
  2. Step 2: Convert to fraction form
    2,771,644/5,926,321 = 5,926,321/x
  3. Step 3: Cross multiply
    2,771,644x = 5,926,321 × 5,926,321
  4. Step 4: Simplify right side
    2,771,644x = 35,121,280,595,041
  5. Step 5: Solve for x
    x = 35,121,280,595,041/2,771,644
  6. Step 6: Final answer
    x = 12,671,642.03

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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.