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Finding the Third Proportional to 1,782,062 and 2,363,031

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Solution

The third proportional to 1,782,062 and 2,363,031 is: 3,133,401.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782,062 : 2,363,031 = 2,363,031 : x
  2. Step 2: Convert to fraction form
    1,782,062/2,363,031 = 2,363,031/x
  3. Step 3: Cross multiply
    1,782,062x = 2,363,031 × 2,363,031
  4. Step 4: Simplify right side
    1,782,062x = 5,583,915,506,961
  5. Step 5: Solve for x
    x = 5,583,915,506,961/1,782,062
  6. Step 6: Final answer
    x = 3,133,401.37

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.