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Finding the Third Proportional to 431,578.13 and 907,903.69

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Solution

The third proportional to 431,578.13 and 907,903.69 is: 1,909,941.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,578.13 : 907,903.69 = 907,903.69 : x
  2. Step 2: Convert to fraction form
    431,578.13/907,903.69 = 907,903.69/x
  3. Step 3: Cross multiply
    431,578.13x = 907,903.69 × 907,903.69
  4. Step 4: Simplify right side
    431,578.13x = 824,289,105,776.10
  5. Step 5: Solve for x
    x = 824,289,105,776.10/431,578.13
  6. Step 6: Final answer
    x = 1,909,941.81

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.