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Finding the Third Proportional to 977,828 and 2,165,612

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Solution

The third proportional to 977,828 and 2,165,612 is: 4,796,217.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,828 : 2,165,612 = 2,165,612 : x
  2. Step 2: Convert to fraction form
    977,828/2,165,612 = 2,165,612/x
  3. Step 3: Cross multiply
    977,828x = 2,165,612 × 2,165,612
  4. Step 4: Simplify right side
    977,828x = 4,689,875,334,544
  5. Step 5: Solve for x
    x = 4,689,875,334,544/977,828
  6. Step 6: Final answer
    x = 4,796,217.06

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.