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Finding the Third Proportional to 4,291,969 and 6,438,465.50

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Solution

The third proportional to 4,291,969 and 6,438,465.50 is: 9,658,466.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291,969 : 6,438,465.50 = 6,438,465.50 : x
  2. Step 2: Convert to fraction form
    4,291,969/6,438,465.50 = 6,438,465.50/x
  3. Step 3: Cross multiply
    4,291,969x = 6,438,465.50 × 6,438,465.50
  4. Step 4: Simplify right side
    4,291,969x = 41,453,837,994,690.25
  5. Step 5: Solve for x
    x = 41,453,837,994,690.25/4,291,969
  6. Step 6: Final answer
    x = 9,658,466.31

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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.