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Finding the Third Proportional to 706,216 and 1,569,351

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Solution

The third proportional to 706,216 and 1,569,351 is: 3,487,406.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,216 : 1,569,351 = 1,569,351 : x
  2. Step 2: Convert to fraction form
    706,216/1,569,351 = 1,569,351/x
  3. Step 3: Cross multiply
    706,216x = 1,569,351 × 1,569,351
  4. Step 4: Simplify right side
    706,216x = 2,462,862,561,201
  5. Step 5: Solve for x
    x = 2,462,862,561,201/706,216
  6. Step 6: Final answer
    x = 3,487,406.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.