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Finding the Third Proportional to 2,952,087 and 4,820,492.25

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Solution

The third proportional to 2,952,087 and 4,820,492.25 is: 7,871,429.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952,087 : 4,820,492.25 = 4,820,492.25 : x
  2. Step 2: Convert to fraction form
    2,952,087/4,820,492.25 = 4,820,492.25/x
  3. Step 3: Cross multiply
    2,952,087x = 4,820,492.25 × 4,820,492.25
  4. Step 4: Simplify right side
    2,952,087x = 23,237,145,532,310.06
  5. Step 5: Solve for x
    x = 23,237,145,532,310.06/2,952,087
  6. Step 6: Final answer
    x = 7,871,429.78

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.