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Finding the Third Proportional to 906,444 and 1,226,712

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Solution

The third proportional to 906,444 and 1,226,712 is: 1,660,138.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,444 : 1,226,712 = 1,226,712 : x
  2. Step 2: Convert to fraction form
    906,444/1,226,712 = 1,226,712/x
  3. Step 3: Cross multiply
    906,444x = 1,226,712 × 1,226,712
  4. Step 4: Simplify right side
    906,444x = 1,504,822,330,944
  5. Step 5: Solve for x
    x = 1,504,822,330,944/906,444
  6. Step 6: Final answer
    x = 1,660,138.22

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.