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Finding the Third Proportional to 1,024,420 and 2,235,464

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Solution

The third proportional to 1,024,420 and 2,235,464 is: 4,878,174.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,420 : 2,235,464 = 2,235,464 : x
  2. Step 2: Convert to fraction form
    1,024,420/2,235,464 = 2,235,464/x
  3. Step 3: Cross multiply
    1,024,420x = 2,235,464 × 2,235,464
  4. Step 4: Simplify right side
    1,024,420x = 4,997,299,295,296
  5. Step 5: Solve for x
    x = 4,997,299,295,296/1,024,420
  6. Step 6: Final answer
    x = 4,878,174.28

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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.