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Finding the Third Proportional to 705,364 and 1,074,563

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Solution

The third proportional to 705,364 and 1,074,563 is: 1,637,006.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,364 : 1,074,563 = 1,074,563 : x
  2. Step 2: Convert to fraction form
    705,364/1,074,563 = 1,074,563/x
  3. Step 3: Cross multiply
    705,364x = 1,074,563 × 1,074,563
  4. Step 4: Simplify right side
    705,364x = 1,154,685,640,969
  5. Step 5: Solve for x
    x = 1,154,685,640,969/705,364
  6. Step 6: Final answer
    x = 1,637,006.77

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.