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Finding the Third Proportional to 1,509,030 and 2,283,025.50

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Solution

The third proportional to 1,509,030 and 2,283,025.50 is: 3,454,010.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509,030 : 2,283,025.50 = 2,283,025.50 : x
  2. Step 2: Convert to fraction form
    1,509,030/2,283,025.50 = 2,283,025.50/x
  3. Step 3: Cross multiply
    1,509,030x = 2,283,025.50 × 2,283,025.50
  4. Step 4: Simplify right side
    1,509,030x = 5,212,205,433,650.25
  5. Step 5: Solve for x
    x = 5,212,205,433,650.25/1,509,030
  6. Step 6: Final answer
    x = 3,454,010.48

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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.