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Finding the Third Proportional to 705,460 and 1,080,978

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Solution

The third proportional to 705,460 and 1,080,978 is: 1,656,385.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,460 : 1,080,978 = 1,080,978 : x
  2. Step 2: Convert to fraction form
    705,460/1,080,978 = 1,080,978/x
  3. Step 3: Cross multiply
    705,460x = 1,080,978 × 1,080,978
  4. Step 4: Simplify right side
    705,460x = 1,168,513,436,484
  5. Step 5: Solve for x
    x = 1,168,513,436,484/705,460
  6. Step 6: Final answer
    x = 1,656,385.11

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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.