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Finding the Third Proportional to 857,136 and 1,281,495

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Solution

The third proportional to 857,136 and 1,281,495 is: 1,915,949.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,136 : 1,281,495 = 1,281,495 : x
  2. Step 2: Convert to fraction form
    857,136/1,281,495 = 1,281,495/x
  3. Step 3: Cross multiply
    857,136x = 1,281,495 × 1,281,495
  4. Step 4: Simplify right side
    857,136x = 1,642,229,435,025
  5. Step 5: Solve for x
    x = 1,642,229,435,025/857,136
  6. Step 6: Final answer
    x = 1,915,949.67

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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.