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Finding the Third Proportional to 473,600 and 1,014,592

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Solution

The third proportional to 473,600 and 1,014,592 is: 2,173,557.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,600 : 1,014,592 = 1,014,592 : x
  2. Step 2: Convert to fraction form
    473,600/1,014,592 = 1,014,592/x
  3. Step 3: Cross multiply
    473,600x = 1,014,592 × 1,014,592
  4. Step 4: Simplify right side
    473,600x = 1,029,396,926,464
  5. Step 5: Solve for x
    x = 1,029,396,926,464/473,600
  6. Step 6: Final answer
    x = 2,173,557.70

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