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Finding the Third Proportional to 471,336 and 1,018,020

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Solution

The third proportional to 471,336 and 1,018,020 is: 2,198,781.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,336 : 1,018,020 = 1,018,020 : x
  2. Step 2: Convert to fraction form
    471,336/1,018,020 = 1,018,020/x
  3. Step 3: Cross multiply
    471,336x = 1,018,020 × 1,018,020
  4. Step 4: Simplify right side
    471,336x = 1,036,364,720,400
  5. Step 5: Solve for x
    x = 1,036,364,720,400/471,336
  6. Step 6: Final answer
    x = 2,198,781.17

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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.