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Finding the Third Proportional to 1,328,096 and 2,905,510

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Solution

The third proportional to 1,328,096 and 2,905,510 is: 6,356,459.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328,096 : 2,905,510 = 2,905,510 : x
  2. Step 2: Convert to fraction form
    1,328,096/2,905,510 = 2,905,510/x
  3. Step 3: Cross multiply
    1,328,096x = 2,905,510 × 2,905,510
  4. Step 4: Simplify right side
    1,328,096x = 8,441,988,360,100
  5. Step 5: Solve for x
    x = 8,441,988,360,100/1,328,096
  6. Step 6: Final answer
    x = 6,356,459.44

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.