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Finding the Third Proportional to 1,108,114 and 2,426,416

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Solution

The third proportional to 1,108,114 and 2,426,416 is: 5,313,076.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108,114 : 2,426,416 = 2,426,416 : x
  2. Step 2: Convert to fraction form
    1,108,114/2,426,416 = 2,426,416/x
  3. Step 3: Cross multiply
    1,108,114x = 2,426,416 × 2,426,416
  4. Step 4: Simplify right side
    1,108,114x = 5,887,494,605,056
  5. Step 5: Solve for x
    x = 5,887,494,605,056/1,108,114
  6. Step 6: Final answer
    x = 5,313,076.64

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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.