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Finding the Third Proportional to 725,971 and 1,127,786

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Solution

The third proportional to 725,971 and 1,127,786 is: 1,752,000.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,971 : 1,127,786 = 1,127,786 : x
  2. Step 2: Convert to fraction form
    725,971/1,127,786 = 1,127,786/x
  3. Step 3: Cross multiply
    725,971x = 1,127,786 × 1,127,786
  4. Step 4: Simplify right side
    725,971x = 1,271,901,261,796
  5. Step 5: Solve for x
    x = 1,271,901,261,796/725,971
  6. Step 6: Final answer
    x = 1,752,000.10

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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.