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Finding the Third Proportional to 705,134 and 1,074,232

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Solution

The third proportional to 705,134 and 1,074,232 is: 1,636,532.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,134 : 1,074,232 = 1,074,232 : x
  2. Step 2: Convert to fraction form
    705,134/1,074,232 = 1,074,232/x
  3. Step 3: Cross multiply
    705,134x = 1,074,232 × 1,074,232
  4. Step 4: Simplify right side
    705,134x = 1,153,974,389,824
  5. Step 5: Solve for x
    x = 1,153,974,389,824/705,134
  6. Step 6: Final answer
    x = 1,636,532.05

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Why These Related Problems?

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