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Finding the Third Proportional to 1,745,856 and 3,758,688

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Solution

The third proportional to 1,745,856 and 3,758,688 is: 8,092,153.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745,856 : 3,758,688 = 3,758,688 : x
  2. Step 2: Convert to fraction form
    1,745,856/3,758,688 = 3,758,688/x
  3. Step 3: Cross multiply
    1,745,856x = 3,758,688 × 3,758,688
  4. Step 4: Simplify right side
    1,745,856x = 14,127,735,481,344
  5. Step 5: Solve for x
    x = 14,127,735,481,344/1,745,856
  6. Step 6: Final answer
    x = 8,092,153.92

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