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Finding the Third Proportional to 475,827 and 1,034,598

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Solution

The third proportional to 475,827 and 1,034,598 is: 2,249,542.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,827 : 1,034,598 = 1,034,598 : x
  2. Step 2: Convert to fraction form
    475,827/1,034,598 = 1,034,598/x
  3. Step 3: Cross multiply
    475,827x = 1,034,598 × 1,034,598
  4. Step 4: Simplify right side
    475,827x = 1,070,393,021,604
  5. Step 5: Solve for x
    x = 1,070,393,021,604/475,827
  6. Step 6: Final answer
    x = 2,249,542.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.