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Finding the Third Proportional to 772,284.38 and 1,114,139.81

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Solution

The third proportional to 772,284.38 and 1,114,139.81 is: 1,607,319.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,284.38 : 1,114,139.81 = 1,114,139.81 : x
  2. Step 2: Convert to fraction form
    772,284.38/1,114,139.81 = 1,114,139.81/x
  3. Step 3: Cross multiply
    772,284.38x = 1,114,139.81 × 1,114,139.81
  4. Step 4: Simplify right side
    772,284.38x = 1,241,307,521,797.54
  5. Step 5: Solve for x
    x = 1,241,307,521,797.54/772,284.38
  6. Step 6: Final answer
    x = 1,607,319.22

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.