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Finding the Third Proportional to 850,314 and 1,866,495

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Solution

The third proportional to 850,314 and 1,866,495 is: 4,097,078.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,314 : 1,866,495 = 1,866,495 : x
  2. Step 2: Convert to fraction form
    850,314/1,866,495 = 1,866,495/x
  3. Step 3: Cross multiply
    850,314x = 1,866,495 × 1,866,495
  4. Step 4: Simplify right side
    850,314x = 3,483,803,585,025
  5. Step 5: Solve for x
    x = 3,483,803,585,025/850,314
  6. Step 6: Final answer
    x = 4,097,078.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.