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Finding the Third Proportional to 438,782 and 949,528

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Solution

The third proportional to 438,782 and 949,528 is: 2,054,786.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,782 : 949,528 = 949,528 : x
  2. Step 2: Convert to fraction form
    438,782/949,528 = 949,528/x
  3. Step 3: Cross multiply
    438,782x = 949,528 × 949,528
  4. Step 4: Simplify right side
    438,782x = 901,603,422,784
  5. Step 5: Solve for x
    x = 901,603,422,784/438,782
  6. Step 6: Final answer
    x = 2,054,786.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.