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Finding the Third Proportional to 1,456,814 and 2,971,408

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Solution

The third proportional to 1,456,814 and 2,971,408 is: 6,060,667.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456,814 : 2,971,408 = 2,971,408 : x
  2. Step 2: Convert to fraction form
    1,456,814/2,971,408 = 2,971,408/x
  3. Step 3: Cross multiply
    1,456,814x = 2,971,408 × 2,971,408
  4. Step 4: Simplify right side
    1,456,814x = 8,829,265,502,464
  5. Step 5: Solve for x
    x = 8,829,265,502,464/1,456,814
  6. Step 6: Final answer
    x = 6,060,667.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.