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Finding the Third Proportional to 824,257.50 and 1,749,603

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Solution

The third proportional to 824,257.50 and 1,749,603 is: 3,713,779.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,257.50 : 1,749,603 = 1,749,603 : x
  2. Step 2: Convert to fraction form
    824,257.50/1,749,603 = 1,749,603/x
  3. Step 3: Cross multiply
    824,257.50x = 1,749,603 × 1,749,603
  4. Step 4: Simplify right side
    824,257.50x = 3,061,110,657,609
  5. Step 5: Solve for x
    x = 3,061,110,657,609/824,257.50
  6. Step 6: Final answer
    x = 3,713,779.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.