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Finding the Third Proportional to 473,569 and 1,014,530

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Solution

The third proportional to 473,569 and 1,014,530 is: 2,173,434.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,569 : 1,014,530 = 1,014,530 : x
  2. Step 2: Convert to fraction form
    473,569/1,014,530 = 1,014,530/x
  3. Step 3: Cross multiply
    473,569x = 1,014,530 × 1,014,530
  4. Step 4: Simplify right side
    473,569x = 1,029,271,120,900
  5. Step 5: Solve for x
    x = 1,029,271,120,900/473,569
  6. Step 6: Final answer
    x = 2,173,434.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.