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Finding the Third Proportional to 465,572 and 997,557

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Solution

The third proportional to 465,572 and 997,557 is: 2,137,413.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,572 : 997,557 = 997,557 : x
  2. Step 2: Convert to fraction form
    465,572/997,557 = 997,557/x
  3. Step 3: Cross multiply
    465,572x = 997,557 × 997,557
  4. Step 4: Simplify right side
    465,572x = 995,119,968,249
  5. Step 5: Solve for x
    x = 995,119,968,249/465,572
  6. Step 6: Final answer
    x = 2,137,413.69

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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.