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Finding the Third Proportional to 475,824 and 1,034,592

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Solution

The third proportional to 475,824 and 1,034,592 is: 2,249,530.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,824 : 1,034,592 = 1,034,592 : x
  2. Step 2: Convert to fraction form
    475,824/1,034,592 = 1,034,592/x
  3. Step 3: Cross multiply
    475,824x = 1,034,592 × 1,034,592
  4. Step 4: Simplify right side
    475,824x = 1,070,380,606,464
  5. Step 5: Solve for x
    x = 1,070,380,606,464/475,824
  6. Step 6: Final answer
    x = 2,249,530.51

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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.