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Finding the Third Proportional to 2,092,460 and 2,961,642

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Solution

The third proportional to 2,092,460 and 2,961,642 is: 4,191,871.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092,460 : 2,961,642 = 2,961,642 : x
  2. Step 2: Convert to fraction form
    2,092,460/2,961,642 = 2,961,642/x
  3. Step 3: Cross multiply
    2,092,460x = 2,961,642 × 2,961,642
  4. Step 4: Simplify right side
    2,092,460x = 8,771,323,336,164
  5. Step 5: Solve for x
    x = 8,771,323,336,164/2,092,460
  6. Step 6: Final answer
    x = 4,191,871.45

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.