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Finding the Third Proportional to 1,510,326 and 2,287,424.81

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Solution

The third proportional to 1,510,326 and 2,287,424.81 is: 3,464,359.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510,326 : 2,287,424.81 = 2,287,424.81 : x
  2. Step 2: Convert to fraction form
    1,510,326/2,287,424.81 = 2,287,424.81/x
  3. Step 3: Cross multiply
    1,510,326x = 2,287,424.81 × 2,287,424.81
  4. Step 4: Simplify right side
    1,510,326x = 5,232,312,272,840.66
  5. Step 5: Solve for x
    x = 5,232,312,272,840.66/1,510,326
  6. Step 6: Final answer
    x = 3,464,359.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.