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Finding the Third Proportional to 999,157 and 1,523,613

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Solution

The third proportional to 999,157 and 1,523,613 is: 2,323,355.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    999,157 : 1,523,613 = 1,523,613 : x
  2. Step 2: Convert to fraction form
    999,157/1,523,613 = 1,523,613/x
  3. Step 3: Cross multiply
    999,157x = 1,523,613 × 1,523,613
  4. Step 4: Simplify right side
    999,157x = 2,321,396,573,769
  5. Step 5: Solve for x
    x = 2,321,396,573,769/999,157
  6. Step 6: Final answer
    x = 2,323,355.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.