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Finding the Third Proportional to 735,554 and 1,587,224

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Solution

The third proportional to 735,554 and 1,587,224 is: 3,425,010.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,554 : 1,587,224 = 1,587,224 : x
  2. Step 2: Convert to fraction form
    735,554/1,587,224 = 1,587,224/x
  3. Step 3: Cross multiply
    735,554x = 1,587,224 × 1,587,224
  4. Step 4: Simplify right side
    735,554x = 2,519,280,026,176
  5. Step 5: Solve for x
    x = 2,519,280,026,176/735,554
  6. Step 6: Final answer
    x = 3,425,010.30

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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.