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Finding the Third Proportional to 701,012 and 1,489,528

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Solution

The third proportional to 701,012 and 1,489,528 is: 3,164,986.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,012 : 1,489,528 = 1,489,528 : x
  2. Step 2: Convert to fraction form
    701,012/1,489,528 = 1,489,528/x
  3. Step 3: Cross multiply
    701,012x = 1,489,528 × 1,489,528
  4. Step 4: Simplify right side
    701,012x = 2,218,693,662,784
  5. Step 5: Solve for x
    x = 2,218,693,662,784/701,012
  6. Step 6: Final answer
    x = 3,164,986.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.