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Finding the Third Proportional to 2,111,931 and 3,271,658

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Solution

The third proportional to 2,111,931 and 3,271,658 is: 5,068,227.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111,931 : 3,271,658 = 3,271,658 : x
  2. Step 2: Convert to fraction form
    2,111,931/3,271,658 = 3,271,658/x
  3. Step 3: Cross multiply
    2,111,931x = 3,271,658 × 3,271,658
  4. Step 4: Simplify right side
    2,111,931x = 10,703,746,068,964
  5. Step 5: Solve for x
    x = 10,703,746,068,964/2,111,931
  6. Step 6: Final answer
    x = 5,068,227.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.