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Finding the Third Proportional to 1,384,424 and 2,024,076

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Solution

The third proportional to 1,384,424 and 2,024,076 is: 2,959,269.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384,424 : 2,024,076 = 2,024,076 : x
  2. Step 2: Convert to fraction form
    1,384,424/2,024,076 = 2,024,076/x
  3. Step 3: Cross multiply
    1,384,424x = 2,024,076 × 2,024,076
  4. Step 4: Simplify right side
    1,384,424x = 4,096,883,653,776
  5. Step 5: Solve for x
    x = 4,096,883,653,776/1,384,424
  6. Step 6: Final answer
    x = 2,959,269.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.