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Finding the Third Proportional to 492,954 and 1,009,260

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Solution

The third proportional to 492,954 and 1,009,260 is: 2,066,330.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,954 : 1,009,260 = 1,009,260 : x
  2. Step 2: Convert to fraction form
    492,954/1,009,260 = 1,009,260/x
  3. Step 3: Cross multiply
    492,954x = 1,009,260 × 1,009,260
  4. Step 4: Simplify right side
    492,954x = 1,018,605,747,600
  5. Step 5: Solve for x
    x = 1,018,605,747,600/492,954
  6. Step 6: Final answer
    x = 2,066,330.22

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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.