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Finding the Third Proportional to 706,516 and 1,530,319

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Solution

The third proportional to 706,516 and 1,530,319 is: 3,314,682.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,516 : 1,530,319 = 1,530,319 : x
  2. Step 2: Convert to fraction form
    706,516/1,530,319 = 1,530,319/x
  3. Step 3: Cross multiply
    706,516x = 1,530,319 × 1,530,319
  4. Step 4: Simplify right side
    706,516x = 2,341,876,241,761
  5. Step 5: Solve for x
    x = 2,341,876,241,761/706,516
  6. Step 6: Final answer
    x = 3,314,682.53

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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.