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Finding the Third Proportional to 492,952 and 1,009,256

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Solution

The third proportional to 492,952 and 1,009,256 is: 2,066,322.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,952 : 1,009,256 = 1,009,256 : x
  2. Step 2: Convert to fraction form
    492,952/1,009,256 = 1,009,256/x
  3. Step 3: Cross multiply
    492,952x = 1,009,256 × 1,009,256
  4. Step 4: Simplify right side
    492,952x = 1,018,597,673,536
  5. Step 5: Solve for x
    x = 1,018,597,673,536/492,952
  6. Step 6: Final answer
    x = 2,066,322.23

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.