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Finding the Third Proportional to 1,346,586 and 2,946,576

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Solution

The third proportional to 1,346,586 and 2,946,576 is: 6,447,646.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346,586 : 2,946,576 = 2,946,576 : x
  2. Step 2: Convert to fraction form
    1,346,586/2,946,576 = 2,946,576/x
  3. Step 3: Cross multiply
    1,346,586x = 2,946,576 × 2,946,576
  4. Step 4: Simplify right side
    1,346,586x = 8,682,310,123,776
  5. Step 5: Solve for x
    x = 8,682,310,123,776/1,346,586
  6. Step 6: Final answer
    x = 6,447,646.21

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.