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Finding the Third Proportional to 748,242 and 1,811,421

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Solution

The third proportional to 748,242 and 1,811,421 is: 4,385,273.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,242 : 1,811,421 = 1,811,421 : x
  2. Step 2: Convert to fraction form
    748,242/1,811,421 = 1,811,421/x
  3. Step 3: Cross multiply
    748,242x = 1,811,421 × 1,811,421
  4. Step 4: Simplify right side
    748,242x = 3,281,246,039,241
  5. Step 5: Solve for x
    x = 3,281,246,039,241/748,242
  6. Step 6: Final answer
    x = 4,385,273.80

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.