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Finding the Third Proportional to 476,301 and 1,018,107

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Solution

The third proportional to 476,301 and 1,018,107 is: 2,176,232.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,301 : 1,018,107 = 1,018,107 : x
  2. Step 2: Convert to fraction form
    476,301/1,018,107 = 1,018,107/x
  3. Step 3: Cross multiply
    476,301x = 1,018,107 × 1,018,107
  4. Step 4: Simplify right side
    476,301x = 1,036,541,863,449
  5. Step 5: Solve for x
    x = 1,036,541,863,449/476,301
  6. Step 6: Final answer
    x = 2,176,232.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.