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Finding the Third Proportional to 1,835,032.50 and 4,317,462

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Solution

The third proportional to 1,835,032.50 and 4,317,462 is: 10,158,118.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835,032.50 : 4,317,462 = 4,317,462 : x
  2. Step 2: Convert to fraction form
    1,835,032.50/4,317,462 = 4,317,462/x
  3. Step 3: Cross multiply
    1,835,032.50x = 4,317,462 × 4,317,462
  4. Step 4: Simplify right side
    1,835,032.50x = 18,640,478,121,444
  5. Step 5: Solve for x
    x = 18,640,478,121,444/1,835,032.50
  6. Step 6: Final answer
    x = 10,158,118.79

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.