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Finding the Third Proportional to 1,492,296.50 and 3,197,522

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Solution

The third proportional to 1,492,296.50 and 3,197,522 is: 6,851,283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492,296.50 : 3,197,522 = 3,197,522 : x
  2. Step 2: Convert to fraction form
    1,492,296.50/3,197,522 = 3,197,522/x
  3. Step 3: Cross multiply
    1,492,296.50x = 3,197,522 × 3,197,522
  4. Step 4: Simplify right side
    1,492,296.50x = 10,224,146,940,484
  5. Step 5: Solve for x
    x = 10,224,146,940,484/1,492,296.50
  6. Step 6: Final answer
    x = 6,851,283.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.