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Finding the Third Proportional to 946,649 and 2,064,370

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Solution

The third proportional to 946,649 and 2,064,370 is: 4,501,798.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,649 : 2,064,370 = 2,064,370 : x
  2. Step 2: Convert to fraction form
    946,649/2,064,370 = 2,064,370/x
  3. Step 3: Cross multiply
    946,649x = 2,064,370 × 2,064,370
  4. Step 4: Simplify right side
    946,649x = 4,261,623,496,900
  5. Step 5: Solve for x
    x = 4,261,623,496,900/946,649
  6. Step 6: Final answer
    x = 4,501,798.97

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.