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Finding the Third Proportional to 473,604 and 1,014,600

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Solution

The third proportional to 473,604 and 1,014,600 is: 2,173,573.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,604 : 1,014,600 = 1,014,600 : x
  2. Step 2: Convert to fraction form
    473,604/1,014,600 = 1,014,600/x
  3. Step 3: Cross multiply
    473,604x = 1,014,600 × 1,014,600
  4. Step 4: Simplify right side
    473,604x = 1,029,413,160,000
  5. Step 5: Solve for x
    x = 1,029,413,160,000/473,604
  6. Step 6: Final answer
    x = 2,173,573.62

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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.