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Finding the Third Proportional to 735,557 and 1,587,231

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Solution

The third proportional to 735,557 and 1,587,231 is: 3,425,026.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,557 : 1,587,231 = 1,587,231 : x
  2. Step 2: Convert to fraction form
    735,557/1,587,231 = 1,587,231/x
  3. Step 3: Cross multiply
    735,557x = 1,587,231 × 1,587,231
  4. Step 4: Simplify right side
    735,557x = 2,519,302,247,361
  5. Step 5: Solve for x
    x = 2,519,302,247,361/735,557
  6. Step 6: Final answer
    x = 3,425,026.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.