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Finding the Third Proportional to 472,295 and 1,014,565

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Solution

The third proportional to 472,295 and 1,014,565 is: 2,179,447.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,295 : 1,014,565 = 1,014,565 : x
  2. Step 2: Convert to fraction form
    472,295/1,014,565 = 1,014,565/x
  3. Step 3: Cross multiply
    472,295x = 1,014,565 × 1,014,565
  4. Step 4: Simplify right side
    472,295x = 1,029,342,139,225
  5. Step 5: Solve for x
    x = 1,029,342,139,225/472,295
  6. Step 6: Final answer
    x = 2,179,447.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.