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Finding the Third Proportional to 1,640,650 and 2,567,835

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Solution

The third proportional to 1,640,650 and 2,567,835 is: 4,019,002.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640,650 : 2,567,835 = 2,567,835 : x
  2. Step 2: Convert to fraction form
    1,640,650/2,567,835 = 2,567,835/x
  3. Step 3: Cross multiply
    1,640,650x = 2,567,835 × 2,567,835
  4. Step 4: Simplify right side
    1,640,650x = 6,593,776,587,225
  5. Step 5: Solve for x
    x = 6,593,776,587,225/1,640,650
  6. Step 6: Final answer
    x = 4,019,002.58

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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.