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Finding the Third Proportional to 1,685,163 and 3,607,494

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Solution

The third proportional to 1,685,163 and 3,607,494 is: 7,722,702.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685,163 : 3,607,494 = 3,607,494 : x
  2. Step 2: Convert to fraction form
    1,685,163/3,607,494 = 3,607,494/x
  3. Step 3: Cross multiply
    1,685,163x = 3,607,494 × 3,607,494
  4. Step 4: Simplify right side
    1,685,163x = 13,014,012,960,036
  5. Step 5: Solve for x
    x = 13,014,012,960,036/1,685,163
  6. Step 6: Final answer
    x = 7,722,702.77

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.