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Finding the Third Proportional to 706,995 and 1,527,012

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Solution

The third proportional to 706,995 and 1,527,012 is: 3,298,135.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,995 : 1,527,012 = 1,527,012 : x
  2. Step 2: Convert to fraction form
    706,995/1,527,012 = 1,527,012/x
  3. Step 3: Cross multiply
    706,995x = 1,527,012 × 1,527,012
  4. Step 4: Simplify right side
    706,995x = 2,331,765,648,144
  5. Step 5: Solve for x
    x = 2,331,765,648,144/706,995
  6. Step 6: Final answer
    x = 3,298,135.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.