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Finding the Third Proportional to 458,603 and 972,701.25

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Solution

The third proportional to 458,603 and 972,701.25 is: 2,063,108.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,603 : 972,701.25 = 972,701.25 : x
  2. Step 2: Convert to fraction form
    458,603/972,701.25 = 972,701.25/x
  3. Step 3: Cross multiply
    458,603x = 972,701.25 × 972,701.25
  4. Step 4: Simplify right side
    458,603x = 946,147,721,751.56
  5. Step 5: Solve for x
    x = 946,147,721,751.56/458,603
  6. Step 6: Final answer
    x = 2,063,108.44

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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.