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Finding the Third Proportional to 1,492,347 and 3,197,610

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Solution

The third proportional to 1,492,347 and 3,197,610 is: 6,851,429.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492,347 : 3,197,610 = 3,197,610 : x
  2. Step 2: Convert to fraction form
    1,492,347/3,197,610 = 3,197,610/x
  3. Step 3: Cross multiply
    1,492,347x = 3,197,610 × 3,197,610
  4. Step 4: Simplify right side
    1,492,347x = 10,224,709,712,100
  5. Step 5: Solve for x
    x = 10,224,709,712,100/1,492,347
  6. Step 6: Final answer
    x = 6,851,429.13

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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.