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Finding the Third Proportional to 869,714 and 1,330,509

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Solution

The third proportional to 869,714 and 1,330,509 is: 2,035,444.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,714 : 1,330,509 = 1,330,509 : x
  2. Step 2: Convert to fraction form
    869,714/1,330,509 = 1,330,509/x
  3. Step 3: Cross multiply
    869,714x = 1,330,509 × 1,330,509
  4. Step 4: Simplify right side
    869,714x = 1,770,254,199,081
  5. Step 5: Solve for x
    x = 1,770,254,199,081/869,714
  6. Step 6: Final answer
    x = 2,035,444.06

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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.