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Finding the Third Proportional to 1,314,492 and 2,116,314

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Solution

The third proportional to 1,314,492 and 2,116,314 is: 3,407,236.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,492 : 2,116,314 = 2,116,314 : x
  2. Step 2: Convert to fraction form
    1,314,492/2,116,314 = 2,116,314/x
  3. Step 3: Cross multiply
    1,314,492x = 2,116,314 × 2,116,314
  4. Step 4: Simplify right side
    1,314,492x = 4,478,784,946,596
  5. Step 5: Solve for x
    x = 4,478,784,946,596/1,314,492
  6. Step 6: Final answer
    x = 3,407,236.37

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.