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Finding the Third Proportional to 2,074,190 and 4,502,476

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Solution

The third proportional to 2,074,190 and 4,502,476 is: 9,773,593.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074,190 : 4,502,476 = 4,502,476 : x
  2. Step 2: Convert to fraction form
    2,074,190/4,502,476 = 4,502,476/x
  3. Step 3: Cross multiply
    2,074,190x = 4,502,476 × 4,502,476
  4. Step 4: Simplify right side
    2,074,190x = 20,272,290,130,576
  5. Step 5: Solve for x
    x = 20,272,290,130,576/2,074,190
  6. Step 6: Final answer
    x = 9,773,593.61

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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.