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Finding the Third Proportional to 4,090,408 and 6,402,592

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Solution

The third proportional to 4,090,408 and 6,402,592 is: 10,021,783.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,090,408 : 6,402,592 = 6,402,592 : x
  2. Step 2: Convert to fraction form
    4,090,408/6,402,592 = 6,402,592/x
  3. Step 3: Cross multiply
    4,090,408x = 6,402,592 × 6,402,592
  4. Step 4: Simplify right side
    4,090,408x = 40,993,184,318,464
  5. Step 5: Solve for x
    x = 40,993,184,318,464/4,090,408
  6. Step 6: Final answer
    x = 10,021,783.72

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