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Finding the Third Proportional to 2,172,685 and 4,676,701

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Solution

The third proportional to 2,172,685 and 4,676,701 is: 10,066,591.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172,685 : 4,676,701 = 4,676,701 : x
  2. Step 2: Convert to fraction form
    2,172,685/4,676,701 = 4,676,701/x
  3. Step 3: Cross multiply
    2,172,685x = 4,676,701 × 4,676,701
  4. Step 4: Simplify right side
    2,172,685x = 21,871,532,243,401
  5. Step 5: Solve for x
    x = 21,871,532,243,401/2,172,685
  6. Step 6: Final answer
    x = 10,066,591.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.