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Finding the Third Proportional to 1,909,440 and 4,159,728

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Solution

The third proportional to 1,909,440 and 4,159,728 is: 9,061,995.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909,440 : 4,159,728 = 4,159,728 : x
  2. Step 2: Convert to fraction form
    1,909,440/4,159,728 = 4,159,728/x
  3. Step 3: Cross multiply
    1,909,440x = 4,159,728 × 4,159,728
  4. Step 4: Simplify right side
    1,909,440x = 17,303,337,033,984
  5. Step 5: Solve for x
    x = 17,303,337,033,984/1,909,440
  6. Step 6: Final answer
    x = 9,061,995.68

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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.