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Finding the Third Proportional to 1,973,733 and 4,102,602

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Solution

The third proportional to 1,973,733 and 4,102,602 is: 8,527,669.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973,733 : 4,102,602 = 4,102,602 : x
  2. Step 2: Convert to fraction form
    1,973,733/4,102,602 = 4,102,602/x
  3. Step 3: Cross multiply
    1,973,733x = 4,102,602 × 4,102,602
  4. Step 4: Simplify right side
    1,973,733x = 16,831,343,170,404
  5. Step 5: Solve for x
    x = 16,831,343,170,404/1,973,733
  6. Step 6: Final answer
    x = 8,527,669.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.