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Finding the Third Proportional to 1,607,535 and 3,467,463

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Solution

The third proportional to 1,607,535 and 3,467,463 is: 7,479,339.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607,535 : 3,467,463 = 3,467,463 : x
  2. Step 2: Convert to fraction form
    1,607,535/3,467,463 = 3,467,463/x
  3. Step 3: Cross multiply
    1,607,535x = 3,467,463 × 3,467,463
  4. Step 4: Simplify right side
    1,607,535x = 12,023,299,656,369
  5. Step 5: Solve for x
    x = 12,023,299,656,369/1,607,535
  6. Step 6: Final answer
    x = 7,479,339.27

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.