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Finding the Third Proportional to 1,509,628.50 and 2,284,071.75

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Solution

The third proportional to 1,509,628.50 and 2,284,071.75 is: 3,455,806.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509,628.50 : 2,284,071.75 = 2,284,071.75 : x
  2. Step 2: Convert to fraction form
    1,509,628.50/2,284,071.75 = 2,284,071.75/x
  3. Step 3: Cross multiply
    1,509,628.50x = 2,284,071.75 × 2,284,071.75
  4. Step 4: Simplify right side
    1,509,628.50x = 5,216,983,759,148.06
  5. Step 5: Solve for x
    x = 5,216,983,759,148.06/1,509,628.50
  6. Step 6: Final answer
    x = 3,455,806.35

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