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Finding the Third Proportional to 495,848 and 1,021,040

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Solution

The third proportional to 495,848 and 1,021,040 is: 2,102,504.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,848 : 1,021,040 = 1,021,040 : x
  2. Step 2: Convert to fraction form
    495,848/1,021,040 = 1,021,040/x
  3. Step 3: Cross multiply
    495,848x = 1,021,040 × 1,021,040
  4. Step 4: Simplify right side
    495,848x = 1,042,522,681,600
  5. Step 5: Solve for x
    x = 1,042,522,681,600/495,848
  6. Step 6: Final answer
    x = 2,102,504.56

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.