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Finding the Third Proportional to 1,868,400 and 4,085,784

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Solution

The third proportional to 1,868,400 and 4,085,784 is: 8,934,720.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868,400 : 4,085,784 = 4,085,784 : x
  2. Step 2: Convert to fraction form
    1,868,400/4,085,784 = 4,085,784/x
  3. Step 3: Cross multiply
    1,868,400x = 4,085,784 × 4,085,784
  4. Step 4: Simplify right side
    1,868,400x = 16,693,630,894,656
  5. Step 5: Solve for x
    x = 16,693,630,894,656/1,868,400
  6. Step 6: Final answer
    x = 8,934,720.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.