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Finding the Third Proportional to 1,027,435.50 and 1,636,284

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Solution

The third proportional to 1,027,435.50 and 1,636,284 is: 2,605,930.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027,435.50 : 1,636,284 = 1,636,284 : x
  2. Step 2: Convert to fraction form
    1,027,435.50/1,636,284 = 1,636,284/x
  3. Step 3: Cross multiply
    1,027,435.50x = 1,636,284 × 1,636,284
  4. Step 4: Simplify right side
    1,027,435.50x = 2,677,425,328,656
  5. Step 5: Solve for x
    x = 2,677,425,328,656/1,027,435.50
  6. Step 6: Final answer
    x = 2,605,930.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.