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Finding the Third Proportional to 725,973 and 1,127,789

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Solution

The third proportional to 725,973 and 1,127,789 is: 1,752,004.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,973 : 1,127,789 = 1,127,789 : x
  2. Step 2: Convert to fraction form
    725,973/1,127,789 = 1,127,789/x
  3. Step 3: Cross multiply
    725,973x = 1,127,789 × 1,127,789
  4. Step 4: Simplify right side
    725,973x = 1,271,908,028,521
  5. Step 5: Solve for x
    x = 1,271,908,028,521/725,973
  6. Step 6: Final answer
    x = 1,752,004.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.