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Finding the Third Proportional to 705,963 and 1,080,146

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Solution

The third proportional to 705,963 and 1,080,146 is: 1,652,657.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,963 : 1,080,146 = 1,080,146 : x
  2. Step 2: Convert to fraction form
    705,963/1,080,146 = 1,080,146/x
  3. Step 3: Cross multiply
    705,963x = 1,080,146 × 1,080,146
  4. Step 4: Simplify right side
    705,963x = 1,166,715,381,316
  5. Step 5: Solve for x
    x = 1,166,715,381,316/705,963
  6. Step 6: Final answer
    x = 1,652,657.97

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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.