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Finding the Third Proportional to 569,871 and 1,340,811

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Solution

The third proportional to 569,871 and 1,340,811 is: 3,154,703.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,871 : 1,340,811 = 1,340,811 : x
  2. Step 2: Convert to fraction form
    569,871/1,340,811 = 1,340,811/x
  3. Step 3: Cross multiply
    569,871x = 1,340,811 × 1,340,811
  4. Step 4: Simplify right side
    569,871x = 1,797,774,137,721
  5. Step 5: Solve for x
    x = 1,797,774,137,721/569,871
  6. Step 6: Final answer
    x = 3,154,703.67

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.