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Finding the Third Proportional to 407,214 and 894,730

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Solution

The third proportional to 407,214 and 894,730 is: 1,965,899.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,214 : 894,730 = 894,730 : x
  2. Step 2: Convert to fraction form
    407,214/894,730 = 894,730/x
  3. Step 3: Cross multiply
    407,214x = 894,730 × 894,730
  4. Step 4: Simplify right side
    407,214x = 800,541,772,900
  5. Step 5: Solve for x
    x = 800,541,772,900/407,214
  6. Step 6: Final answer
    x = 1,965,899.44

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Why These Related Problems?

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