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Finding the Third Proportional to 1,697,389 and 3,637,468

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Solution

The third proportional to 1,697,389 and 3,637,468 is: 7,795,015.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697,389 : 3,637,468 = 3,637,468 : x
  2. Step 2: Convert to fraction form
    1,697,389/3,637,468 = 3,637,468/x
  3. Step 3: Cross multiply
    1,697,389x = 3,637,468 × 3,637,468
  4. Step 4: Simplify right side
    1,697,389x = 13,231,173,451,024
  5. Step 5: Solve for x
    x = 13,231,173,451,024/1,697,389
  6. Step 6: Final answer
    x = 7,795,015.43

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.