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Finding the Third Proportional to 407,445 and 896,114

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Solution

The third proportional to 407,445 and 896,114 is: 1,970,867.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,445 : 896,114 = 896,114 : x
  2. Step 2: Convert to fraction form
    407,445/896,114 = 896,114/x
  3. Step 3: Cross multiply
    407,445x = 896,114 × 896,114
  4. Step 4: Simplify right side
    407,445x = 803,020,300,996
  5. Step 5: Solve for x
    x = 803,020,300,996/407,445
  6. Step 6: Final answer
    x = 1,970,867.97

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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.