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Finding the Third Proportional to 4,343,868 and 5,712,201

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Solution

The third proportional to 4,343,868 and 5,712,201 is: 7,511,563.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,343,868 : 5,712,201 = 5,712,201 : x
  2. Step 2: Convert to fraction form
    4,343,868/5,712,201 = 5,712,201/x
  3. Step 3: Cross multiply
    4,343,868x = 5,712,201 × 5,712,201
  4. Step 4: Simplify right side
    4,343,868x = 32,629,240,264,401
  5. Step 5: Solve for x
    x = 32,629,240,264,401/4,343,868
  6. Step 6: Final answer
    x = 7,511,563.49

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.