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Finding the Third Proportional to 473,743.69 and 1,010,477.53

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Solution

The third proportional to 473,743.69 and 1,010,477.53 is: 2,155,310.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,743.69 : 1,010,477.53 = 1,010,477.53 : x
  2. Step 2: Convert to fraction form
    473,743.69/1,010,477.53 = 1,010,477.53/x
  3. Step 3: Cross multiply
    473,743.69x = 1,010,477.53 × 1,010,477.53
  4. Step 4: Simplify right side
    473,743.69x = 1,021,064,841,161.09
  5. Step 5: Solve for x
    x = 1,021,064,841,161.09/473,743.69
  6. Step 6: Final answer
    x = 2,155,310.71

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.