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Finding the Third Proportional to 1,560,480 and 3,406,728

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Solution

The third proportional to 1,560,480 and 3,406,728 is: 7,437,324.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560,480 : 3,406,728 = 3,406,728 : x
  2. Step 2: Convert to fraction form
    1,560,480/3,406,728 = 3,406,728/x
  3. Step 3: Cross multiply
    1,560,480x = 3,406,728 × 3,406,728
  4. Step 4: Simplify right side
    1,560,480x = 11,605,795,665,984
  5. Step 5: Solve for x
    x = 11,605,795,665,984/1,560,480
  6. Step 6: Final answer
    x = 7,437,324.20

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.