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Finding the Third Proportional to 1,108,224 and 2,423,808

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Solution

The third proportional to 1,108,224 and 2,423,808 is: 5,301,135.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108,224 : 2,423,808 = 2,423,808 : x
  2. Step 2: Convert to fraction form
    1,108,224/2,423,808 = 2,423,808/x
  3. Step 3: Cross multiply
    1,108,224x = 2,423,808 × 2,423,808
  4. Step 4: Simplify right side
    1,108,224x = 5,874,845,220,864
  5. Step 5: Solve for x
    x = 5,874,845,220,864/1,108,224
  6. Step 6: Final answer
    x = 5,301,135.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.