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Finding the Third Proportional to 492,938 and 1,009,186

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Solution

The third proportional to 492,938 and 1,009,186 is: 2,066,094.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,938 : 1,009,186 = 1,009,186 : x
  2. Step 2: Convert to fraction form
    492,938/1,009,186 = 1,009,186/x
  3. Step 3: Cross multiply
    492,938x = 1,009,186 × 1,009,186
  4. Step 4: Simplify right side
    492,938x = 1,018,456,382,596
  5. Step 5: Solve for x
    x = 1,018,456,382,596/492,938
  6. Step 6: Final answer
    x = 2,066,094.28

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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.