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Finding the Third Proportional to 466,020 and 1,008,207

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Solution

The third proportional to 466,020 and 1,008,207 is: 2,181,196.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,020 : 1,008,207 = 1,008,207 : x
  2. Step 2: Convert to fraction form
    466,020/1,008,207 = 1,008,207/x
  3. Step 3: Cross multiply
    466,020x = 1,008,207 × 1,008,207
  4. Step 4: Simplify right side
    466,020x = 1,016,481,354,849
  5. Step 5: Solve for x
    x = 1,016,481,354,849/466,020
  6. Step 6: Final answer
    x = 2,181,196.85

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Why These Related Problems?

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