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Finding the Third Proportional to 945,536 and 1,418,968

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Solution

The third proportional to 945,536 and 1,418,968 is: 2,129,448.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,536 : 1,418,968 = 1,418,968 : x
  2. Step 2: Convert to fraction form
    945,536/1,418,968 = 1,418,968/x
  3. Step 3: Cross multiply
    945,536x = 1,418,968 × 1,418,968
  4. Step 4: Simplify right side
    945,536x = 2,013,470,185,024
  5. Step 5: Solve for x
    x = 2,013,470,185,024/945,536
  6. Step 6: Final answer
    x = 2,129,448.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.