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Finding the Third Proportional to 2,890,688 and 6,427,684

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Solution

The third proportional to 2,890,688 and 6,427,684 is: 14,292,487.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890,688 : 6,427,684 = 6,427,684 : x
  2. Step 2: Convert to fraction form
    2,890,688/6,427,684 = 6,427,684/x
  3. Step 3: Cross multiply
    2,890,688x = 6,427,684 × 6,427,684
  4. Step 4: Simplify right side
    2,890,688x = 41,315,121,603,856
  5. Step 5: Solve for x
    x = 41,315,121,603,856/2,890,688
  6. Step 6: Final answer
    x = 14,292,487.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.