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Finding the Third Proportional to 1,883,146 and 4,102,596

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Solution

The third proportional to 1,883,146 and 4,102,596 is: 8,937,859.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883,146 : 4,102,596 = 4,102,596 : x
  2. Step 2: Convert to fraction form
    1,883,146/4,102,596 = 4,102,596/x
  3. Step 3: Cross multiply
    1,883,146x = 4,102,596 × 4,102,596
  4. Step 4: Simplify right side
    1,883,146x = 16,831,293,939,216
  5. Step 5: Solve for x
    x = 16,831,293,939,216/1,883,146
  6. Step 6: Final answer
    x = 8,937,859.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.