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Finding the Third Proportional to 1,651,527 and 3,638,319

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Solution

The third proportional to 1,651,527 and 3,638,319 is: 8,015,227.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651,527 : 3,638,319 = 3,638,319 : x
  2. Step 2: Convert to fraction form
    1,651,527/3,638,319 = 3,638,319/x
  3. Step 3: Cross multiply
    1,651,527x = 3,638,319 × 3,638,319
  4. Step 4: Simplify right side
    1,651,527x = 13,237,365,145,761
  5. Step 5: Solve for x
    x = 13,237,365,145,761/1,651,527
  6. Step 6: Final answer
    x = 8,015,227.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.