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Finding the Third Proportional to 473,487 and 1,017,245

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Solution

The third proportional to 473,487 and 1,017,245 is: 2,185,461.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,487 : 1,017,245 = 1,017,245 : x
  2. Step 2: Convert to fraction form
    473,487/1,017,245 = 1,017,245/x
  3. Step 3: Cross multiply
    473,487x = 1,017,245 × 1,017,245
  4. Step 4: Simplify right side
    473,487x = 1,034,787,390,025
  5. Step 5: Solve for x
    x = 1,034,787,390,025/473,487
  6. Step 6: Final answer
    x = 2,185,461.04

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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.