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Finding the Third Proportional to 1,031,654 and 1,578,009

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Solution

The third proportional to 1,031,654 and 1,578,009 is: 2,413,708.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031,654 : 1,578,009 = 1,578,009 : x
  2. Step 2: Convert to fraction form
    1,031,654/1,578,009 = 1,578,009/x
  3. Step 3: Cross multiply
    1,031,654x = 1,578,009 × 1,578,009
  4. Step 4: Simplify right side
    1,031,654x = 2,490,112,404,081
  5. Step 5: Solve for x
    x = 2,490,112,404,081/1,031,654
  6. Step 6: Final answer
    x = 2,413,708.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.