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Finding the Third Proportional to 867,498 and 1,879,784

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Solution

The third proportional to 867,498 and 1,879,784 is: 4,073,309.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,498 : 1,879,784 = 1,879,784 : x
  2. Step 2: Convert to fraction form
    867,498/1,879,784 = 1,879,784/x
  3. Step 3: Cross multiply
    867,498x = 1,879,784 × 1,879,784
  4. Step 4: Simplify right side
    867,498x = 3,533,587,886,656
  5. Step 5: Solve for x
    x = 3,533,587,886,656/867,498
  6. Step 6: Final answer
    x = 4,073,309.55

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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.