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Finding the Third Proportional to 4,090,410 and 6,402,595

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Solution

The third proportional to 4,090,410 and 6,402,595 is: 10,021,788.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,090,410 : 6,402,595 = 6,402,595 : x
  2. Step 2: Convert to fraction form
    4,090,410/6,402,595 = 6,402,595/x
  3. Step 3: Cross multiply
    4,090,410x = 6,402,595 × 6,402,595
  4. Step 4: Simplify right side
    4,090,410x = 40,993,222,734,025
  5. Step 5: Solve for x
    x = 40,993,222,734,025/4,090,410
  6. Step 6: Final answer
    x = 10,021,788.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.