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Finding the Third Proportional to 678,919.50 and 1,468,095

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Solution

The third proportional to 678,919.50 and 1,468,095 is: 3,174,607.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,919.50 : 1,468,095 = 1,468,095 : x
  2. Step 2: Convert to fraction form
    678,919.50/1,468,095 = 1,468,095/x
  3. Step 3: Cross multiply
    678,919.50x = 1,468,095 × 1,468,095
  4. Step 4: Simplify right side
    678,919.50x = 2,155,302,929,025
  5. Step 5: Solve for x
    x = 2,155,302,929,025/678,919.50
  6. Step 6: Final answer
    x = 3,174,607.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.