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Finding the Third Proportional to 2,086,970 and 2,977,358

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Solution

The third proportional to 2,086,970 and 2,977,358 is: 4,247,622.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086,970 : 2,977,358 = 2,977,358 : x
  2. Step 2: Convert to fraction form
    2,086,970/2,977,358 = 2,977,358/x
  3. Step 3: Cross multiply
    2,086,970x = 2,977,358 × 2,977,358
  4. Step 4: Simplify right side
    2,086,970x = 8,864,660,660,164
  5. Step 5: Solve for x
    x = 8,864,660,660,164/2,086,970
  6. Step 6: Final answer
    x = 4,247,622.47

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.