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Finding the Third Proportional to 674,136 and 1,441,584

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Solution

The third proportional to 674,136 and 1,441,584 is: 3,082,707.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,136 : 1,441,584 = 1,441,584 : x
  2. Step 2: Convert to fraction form
    674,136/1,441,584 = 1,441,584/x
  3. Step 3: Cross multiply
    674,136x = 1,441,584 × 1,441,584
  4. Step 4: Simplify right side
    674,136x = 2,078,164,429,056
  5. Step 5: Solve for x
    x = 2,078,164,429,056/674,136
  6. Step 6: Final answer
    x = 3,082,707.98

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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.