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Finding the Third Proportional to 473,472 and 1,017,216

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Solution

The third proportional to 473,472 and 1,017,216 is: 2,185,405.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,472 : 1,017,216 = 1,017,216 : x
  2. Step 2: Convert to fraction form
    473,472/1,017,216 = 1,017,216/x
  3. Step 3: Cross multiply
    473,472x = 1,017,216 × 1,017,216
  4. Step 4: Simplify right side
    473,472x = 1,034,728,390,656
  5. Step 5: Solve for x
    x = 1,034,728,390,656/473,472
  6. Step 6: Final answer
    x = 2,185,405.66

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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.