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Finding the Third Proportional to 695,142 and 1,523,150

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Solution

The third proportional to 695,142 and 1,523,150 is: 3,337,427.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,142 : 1,523,150 = 1,523,150 : x
  2. Step 2: Convert to fraction form
    695,142/1,523,150 = 1,523,150/x
  3. Step 3: Cross multiply
    695,142x = 1,523,150 × 1,523,150
  4. Step 4: Simplify right side
    695,142x = 2,319,985,922,500
  5. Step 5: Solve for x
    x = 2,319,985,922,500/695,142
  6. Step 6: Final answer
    x = 3,337,427.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.