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Finding the Third Proportional to 882,214 and 1,913,762

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Solution

The third proportional to 882,214 and 1,913,762 is: 4,151,470.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,214 : 1,913,762 = 1,913,762 : x
  2. Step 2: Convert to fraction form
    882,214/1,913,762 = 1,913,762/x
  3. Step 3: Cross multiply
    882,214x = 1,913,762 × 1,913,762
  4. Step 4: Simplify right side
    882,214x = 3,662,484,992,644
  5. Step 5: Solve for x
    x = 3,662,484,992,644/882,214
  6. Step 6: Final answer
    x = 4,151,470.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.