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Finding the Third Proportional to 4,595,466 and 6,439,722

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Solution

The third proportional to 4,595,466 and 6,439,722 is: 9,024,116.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,595,466 : 6,439,722 = 6,439,722 : x
  2. Step 2: Convert to fraction form
    4,595,466/6,439,722 = 6,439,722/x
  3. Step 3: Cross multiply
    4,595,466x = 6,439,722 × 6,439,722
  4. Step 4: Simplify right side
    4,595,466x = 41,470,019,437,284
  5. Step 5: Solve for x
    x = 41,470,019,437,284/4,595,466
  6. Step 6: Final answer
    x = 9,024,116.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.