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Finding the Third Proportional to 2,161,784 and 4,692,784

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Solution

The third proportional to 2,161,784 and 4,692,784 is: 10,187,059.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161,784 : 4,692,784 = 4,692,784 : x
  2. Step 2: Convert to fraction form
    2,161,784/4,692,784 = 4,692,784/x
  3. Step 3: Cross multiply
    2,161,784x = 4,692,784 × 4,692,784
  4. Step 4: Simplify right side
    2,161,784x = 22,022,221,670,656
  5. Step 5: Solve for x
    x = 22,022,221,670,656/2,161,784
  6. Step 6: Final answer
    x = 10,187,059.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.