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Finding the Third Proportional to 1,047,842 and 1,577,883

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Solution

The third proportional to 1,047,842 and 1,577,883 is: 2,376,040.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047,842 : 1,577,883 = 1,577,883 : x
  2. Step 2: Convert to fraction form
    1,047,842/1,577,883 = 1,577,883/x
  3. Step 3: Cross multiply
    1,047,842x = 1,577,883 × 1,577,883
  4. Step 4: Simplify right side
    1,047,842x = 2,489,714,761,689
  5. Step 5: Solve for x
    x = 2,489,714,761,689/1,047,842
  6. Step 6: Final answer
    x = 2,376,040.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.