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Finding the Third Proportional to 2,967,522 and 4,465,203

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Solution

The third proportional to 2,967,522 and 4,465,203 is: 6,718,749.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967,522 : 4,465,203 = 4,465,203 : x
  2. Step 2: Convert to fraction form
    2,967,522/4,465,203 = 4,465,203/x
  3. Step 3: Cross multiply
    2,967,522x = 4,465,203 × 4,465,203
  4. Step 4: Simplify right side
    2,967,522x = 19,938,037,831,209
  5. Step 5: Solve for x
    x = 19,938,037,831,209/2,967,522
  6. Step 6: Final answer
    x = 6,718,749.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.