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Finding the Third Proportional to 912,821 and 1,952,281

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Solution

The third proportional to 912,821 and 1,952,281 is: 4,175,409.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,821 : 1,952,281 = 1,952,281 : x
  2. Step 2: Convert to fraction form
    912,821/1,952,281 = 1,952,281/x
  3. Step 3: Cross multiply
    912,821x = 1,952,281 × 1,952,281
  4. Step 4: Simplify right side
    912,821x = 3,811,401,102,961
  5. Step 5: Solve for x
    x = 3,811,401,102,961/912,821
  6. Step 6: Final answer
    x = 4,175,409.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.