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Finding the Third Proportional to 465,570 and 997,553

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Solution

The third proportional to 465,570 and 997,553 is: 2,137,405.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,570 : 997,553 = 997,553 : x
  2. Step 2: Convert to fraction form
    465,570/997,553 = 997,553/x
  3. Step 3: Cross multiply
    465,570x = 997,553 × 997,553
  4. Step 4: Simplify right side
    465,570x = 995,111,987,809
  5. Step 5: Solve for x
    x = 995,111,987,809/465,570
  6. Step 6: Final answer
    x = 2,137,405.73

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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.