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Finding the Third Proportional to 2,653,128 and 5,684,784

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Solution

The third proportional to 2,653,128 and 5,684,784 is: 12,180,629.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653,128 : 5,684,784 = 5,684,784 : x
  2. Step 2: Convert to fraction form
    2,653,128/5,684,784 = 5,684,784/x
  3. Step 3: Cross multiply
    2,653,128x = 5,684,784 × 5,684,784
  4. Step 4: Simplify right side
    2,653,128x = 32,316,769,126,656
  5. Step 5: Solve for x
    x = 32,316,769,126,656/2,653,128
  6. Step 6: Final answer
    x = 12,180,629.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.