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Finding the Third Proportional to 1,083,152.50 and 1,676,326

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Solution

The third proportional to 1,083,152.50 and 1,676,326 is: 2,594,342.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083,152.50 : 1,676,326 = 1,676,326 : x
  2. Step 2: Convert to fraction form
    1,083,152.50/1,676,326 = 1,676,326/x
  3. Step 3: Cross multiply
    1,083,152.50x = 1,676,326 × 1,676,326
  4. Step 4: Simplify right side
    1,083,152.50x = 2,810,068,858,276
  5. Step 5: Solve for x
    x = 2,810,068,858,276/1,083,152.50
  6. Step 6: Final answer
    x = 2,594,342.77

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.