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Finding the Third Proportional to 411,074.25 and 896,655

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Solution

The third proportional to 411,074.25 and 896,655 is: 1,955,827.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,074.25 : 896,655 = 896,655 : x
  2. Step 2: Convert to fraction form
    411,074.25/896,655 = 896,655/x
  3. Step 3: Cross multiply
    411,074.25x = 896,655 × 896,655
  4. Step 4: Simplify right side
    411,074.25x = 803,990,189,025
  5. Step 5: Solve for x
    x = 803,990,189,025/411,074.25
  6. Step 6: Final answer
    x = 1,955,827.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.