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Finding the Third Proportional to 3,931,254 and 5,766,201

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Solution

The third proportional to 3,931,254 and 5,766,201 is: 8,457,625.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,931,254 : 5,766,201 = 5,766,201 : x
  2. Step 2: Convert to fraction form
    3,931,254/5,766,201 = 5,766,201/x
  3. Step 3: Cross multiply
    3,931,254x = 5,766,201 × 5,766,201
  4. Step 4: Simplify right side
    3,931,254x = 33,249,073,972,401
  5. Step 5: Solve for x
    x = 33,249,073,972,401/3,931,254
  6. Step 6: Final answer
    x = 8,457,625.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.