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Finding the Third Proportional to 1,301,820 and 2,820,156

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Solution

The third proportional to 1,301,820 and 2,820,156 is: 6,109,354.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301,820 : 2,820,156 = 2,820,156 : x
  2. Step 2: Convert to fraction form
    1,301,820/2,820,156 = 2,820,156/x
  3. Step 3: Cross multiply
    1,301,820x = 2,820,156 × 2,820,156
  4. Step 4: Simplify right side
    1,301,820x = 7,953,279,864,336
  5. Step 5: Solve for x
    x = 7,953,279,864,336/1,301,820
  6. Step 6: Final answer
    x = 6,109,354.49

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