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Finding the Third Proportional to 706,282 and 1,569,483

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Solution

The third proportional to 706,282 and 1,569,483 is: 3,487,667.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,282 : 1,569,483 = 1,569,483 : x
  2. Step 2: Convert to fraction form
    706,282/1,569,483 = 1,569,483/x
  3. Step 3: Cross multiply
    706,282x = 1,569,483 × 1,569,483
  4. Step 4: Simplify right side
    706,282x = 2,463,276,887,289
  5. Step 5: Solve for x
    x = 2,463,276,887,289/706,282
  6. Step 6: Final answer
    x = 3,487,667.66

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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.