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Finding the Third Proportional to 4,077,502 and 6,477,861

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Solution

The third proportional to 4,077,502 and 6,477,861 is: 10,291,272.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077,502 : 6,477,861 = 6,477,861 : x
  2. Step 2: Convert to fraction form
    4,077,502/6,477,861 = 6,477,861/x
  3. Step 3: Cross multiply
    4,077,502x = 6,477,861 × 6,477,861
  4. Step 4: Simplify right side
    4,077,502x = 41,962,683,135,321
  5. Step 5: Solve for x
    x = 41,962,683,135,321/4,077,502
  6. Step 6: Final answer
    x = 10,291,272.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.