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Finding the Third Proportional to 906,446 and 1,334,613

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Solution

The third proportional to 906,446 and 1,334,613 is: 1,965,028.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,446 : 1,334,613 = 1,334,613 : x
  2. Step 2: Convert to fraction form
    906,446/1,334,613 = 1,334,613/x
  3. Step 3: Cross multiply
    906,446x = 1,334,613 × 1,334,613
  4. Step 4: Simplify right side
    906,446x = 1,781,191,859,769
  5. Step 5: Solve for x
    x = 1,781,191,859,769/906,446
  6. Step 6: Final answer
    x = 1,965,028.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.