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Finding the Third Proportional to 1,233,522 and 1,410,669

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Solution

The third proportional to 1,233,522 and 1,410,669 is: 1,613,256.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233,522 : 1,410,669 = 1,410,669 : x
  2. Step 2: Convert to fraction form
    1,233,522/1,410,669 = 1,410,669/x
  3. Step 3: Cross multiply
    1,233,522x = 1,410,669 × 1,410,669
  4. Step 4: Simplify right side
    1,233,522x = 1,989,987,027,561
  5. Step 5: Solve for x
    x = 1,989,987,027,561/1,233,522
  6. Step 6: Final answer
    x = 1,613,256.21

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.