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Finding the Third Proportional to 2,674,984 and 5,786,276

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Solution

The third proportional to 2,674,984 and 5,786,276 is: 12,516,332.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674,984 : 5,786,276 = 5,786,276 : x
  2. Step 2: Convert to fraction form
    2,674,984/5,786,276 = 5,786,276/x
  3. Step 3: Cross multiply
    2,674,984x = 5,786,276 × 5,786,276
  4. Step 4: Simplify right side
    2,674,984x = 33,480,989,948,176
  5. Step 5: Solve for x
    x = 33,480,989,948,176/2,674,984
  6. Step 6: Final answer
    x = 12,516,332.79

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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.