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Finding the Third Proportional to 706,017 and 1,529,970

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Solution

The third proportional to 706,017 and 1,529,970 is: 3,315,512.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,017 : 1,529,970 = 1,529,970 : x
  2. Step 2: Convert to fraction form
    706,017/1,529,970 = 1,529,970/x
  3. Step 3: Cross multiply
    706,017x = 1,529,970 × 1,529,970
  4. Step 4: Simplify right side
    706,017x = 2,340,808,200,900
  5. Step 5: Solve for x
    x = 2,340,808,200,900/706,017
  6. Step 6: Final answer
    x = 3,315,512.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.