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Finding the Third Proportional to 4,384,602 and 6,559,023

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Solution

The third proportional to 4,384,602 and 6,559,023 is: 9,811,787.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384,602 : 6,559,023 = 6,559,023 : x
  2. Step 2: Convert to fraction form
    4,384,602/6,559,023 = 6,559,023/x
  3. Step 3: Cross multiply
    4,384,602x = 6,559,023 × 6,559,023
  4. Step 4: Simplify right side
    4,384,602x = 43,020,782,714,529
  5. Step 5: Solve for x
    x = 43,020,782,714,529/4,384,602
  6. Step 6: Final answer
    x = 9,811,787.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.