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Finding the Third Proportional to 706,566 and 1,530,564

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Solution

The third proportional to 706,566 and 1,530,564 is: 3,315,509.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,566 : 1,530,564 = 1,530,564 : x
  2. Step 2: Convert to fraction form
    706,566/1,530,564 = 1,530,564/x
  3. Step 3: Cross multiply
    706,566x = 1,530,564 × 1,530,564
  4. Step 4: Simplify right side
    706,566x = 2,342,626,158,096
  5. Step 5: Solve for x
    x = 2,342,626,158,096/706,566
  6. Step 6: Final answer
    x = 3,315,509.32

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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.