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Finding the Third Proportional to 697,684 and 1,501,856

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Solution

The third proportional to 697,684 and 1,501,856 is: 3,232,941.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,684 : 1,501,856 = 1,501,856 : x
  2. Step 2: Convert to fraction form
    697,684/1,501,856 = 1,501,856/x
  3. Step 3: Cross multiply
    697,684x = 1,501,856 × 1,501,856
  4. Step 4: Simplify right side
    697,684x = 2,255,571,444,736
  5. Step 5: Solve for x
    x = 2,255,571,444,736/697,684
  6. Step 6: Final answer
    x = 3,232,941.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.