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Finding the Third Proportional to 875,784 and 1,888,296

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Solution

The third proportional to 875,784 and 1,888,296 is: 4,071,394.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,784 : 1,888,296 = 1,888,296 : x
  2. Step 2: Convert to fraction form
    875,784/1,888,296 = 1,888,296/x
  3. Step 3: Cross multiply
    875,784x = 1,888,296 × 1,888,296
  4. Step 4: Simplify right side
    875,784x = 3,565,661,783,616
  5. Step 5: Solve for x
    x = 3,565,661,783,616/875,784
  6. Step 6: Final answer
    x = 4,071,394.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.