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Finding the Third Proportional to 706,236 and 1,569,392

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Solution

The third proportional to 706,236 and 1,569,392 is: 3,487,490.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,236 : 1,569,392 = 1,569,392 : x
  2. Step 2: Convert to fraction form
    706,236/1,569,392 = 1,569,392/x
  3. Step 3: Cross multiply
    706,236x = 1,569,392 × 1,569,392
  4. Step 4: Simplify right side
    706,236x = 2,462,991,249,664
  5. Step 5: Solve for x
    x = 2,462,991,249,664/706,236
  6. Step 6: Final answer
    x = 3,487,490.37

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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.