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Finding the Third Proportional to 473,580 and 1,014,336

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Solution

The third proportional to 473,580 and 1,014,336 is: 2,172,552.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,580 : 1,014,336 = 1,014,336 : x
  2. Step 2: Convert to fraction form
    473,580/1,014,336 = 1,014,336/x
  3. Step 3: Cross multiply
    473,580x = 1,014,336 × 1,014,336
  4. Step 4: Simplify right side
    473,580x = 1,028,877,520,896
  5. Step 5: Solve for x
    x = 1,028,877,520,896/473,580
  6. Step 6: Final answer
    x = 2,172,552.73

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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.