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Finding the Third Proportional to 706,491 and 1,530,270

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Solution

The third proportional to 706,491 and 1,530,270 is: 3,314,587.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,491 : 1,530,270 = 1,530,270 : x
  2. Step 2: Convert to fraction form
    706,491/1,530,270 = 1,530,270/x
  3. Step 3: Cross multiply
    706,491x = 1,530,270 × 1,530,270
  4. Step 4: Simplify right side
    706,491x = 2,341,726,272,900
  5. Step 5: Solve for x
    x = 2,341,726,272,900/706,491
  6. Step 6: Final answer
    x = 3,314,587.55

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