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Finding the Third Proportional to 524,020 and 1,122,749

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Solution

The third proportional to 524,020 and 1,122,749 is: 2,405,567.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,020 : 1,122,749 = 1,122,749 : x
  2. Step 2: Convert to fraction form
    524,020/1,122,749 = 1,122,749/x
  3. Step 3: Cross multiply
    524,020x = 1,122,749 × 1,122,749
  4. Step 4: Simplify right side
    524,020x = 1,260,565,317,001
  5. Step 5: Solve for x
    x = 1,260,565,317,001/524,020
  6. Step 6: Final answer
    x = 2,405,567.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.