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Finding the Third Proportional to 705,456 and 1,080,972

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Solution

The third proportional to 705,456 and 1,080,972 is: 1,656,376.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,456 : 1,080,972 = 1,080,972 : x
  2. Step 2: Convert to fraction form
    705,456/1,080,972 = 1,080,972/x
  3. Step 3: Cross multiply
    705,456x = 1,080,972 × 1,080,972
  4. Step 4: Simplify right side
    705,456x = 1,168,500,464,784
  5. Step 5: Solve for x
    x = 1,168,500,464,784/705,456
  6. Step 6: Final answer
    x = 1,656,376.11

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