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Finding the Third Proportional to 473,488 and 1,017,248

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Solution

The third proportional to 473,488 and 1,017,248 is: 2,185,469.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,488 : 1,017,248 = 1,017,248 : x
  2. Step 2: Convert to fraction form
    473,488/1,017,248 = 1,017,248/x
  3. Step 3: Cross multiply
    473,488x = 1,017,248 × 1,017,248
  4. Step 4: Simplify right side
    473,488x = 1,034,793,493,504
  5. Step 5: Solve for x
    x = 1,034,793,493,504/473,488
  6. Step 6: Final answer
    x = 2,185,469.31

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