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Finding the Third Proportional to 492,953 and 1,009,258

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Solution

The third proportional to 492,953 and 1,009,258 is: 2,066,326.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,953 : 1,009,258 = 1,009,258 : x
  2. Step 2: Convert to fraction form
    492,953/1,009,258 = 1,009,258/x
  3. Step 3: Cross multiply
    492,953x = 1,009,258 × 1,009,258
  4. Step 4: Simplify right side
    492,953x = 1,018,601,710,564
  5. Step 5: Solve for x
    x = 1,018,601,710,564/492,953
  6. Step 6: Final answer
    x = 2,066,326.22

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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.