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Finding the Third Proportional to 706,200 and 1,569,319

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Solution

The third proportional to 706,200 and 1,569,319 is: 3,487,343.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,200 : 1,569,319 = 1,569,319 : x
  2. Step 2: Convert to fraction form
    706,200/1,569,319 = 1,569,319/x
  3. Step 3: Cross multiply
    706,200x = 1,569,319 × 1,569,319
  4. Step 4: Simplify right side
    706,200x = 2,462,762,123,761
  5. Step 5: Solve for x
    x = 2,462,762,123,761/706,200
  6. Step 6: Final answer
    x = 3,487,343.70

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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.