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Finding the Third Proportional to 1,744,492 and 3,696,158

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Solution

The third proportional to 1,744,492 and 3,696,158 is: 7,831,267.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744,492 : 3,696,158 = 3,696,158 : x
  2. Step 2: Convert to fraction form
    1,744,492/3,696,158 = 3,696,158/x
  3. Step 3: Cross multiply
    1,744,492x = 3,696,158 × 3,696,158
  4. Step 4: Simplify right side
    1,744,492x = 13,661,583,960,964
  5. Step 5: Solve for x
    x = 13,661,583,960,964/1,744,492
  6. Step 6: Final answer
    x = 7,831,267.76

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.