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Finding the Third Proportional to 640,526 and 1,401,436

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Solution

The third proportional to 640,526 and 1,401,436 is: 3,066,265.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,526 : 1,401,436 = 1,401,436 : x
  2. Step 2: Convert to fraction form
    640,526/1,401,436 = 1,401,436/x
  3. Step 3: Cross multiply
    640,526x = 1,401,436 × 1,401,436
  4. Step 4: Simplify right side
    640,526x = 1,964,022,862,096
  5. Step 5: Solve for x
    x = 1,964,022,862,096/640,526
  6. Step 6: Final answer
    x = 3,066,265.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.