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Finding the Third Proportional to 1,975,815 and 2,979,284

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Solution

The third proportional to 1,975,815 and 2,979,284 is: 4,492,390.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975,815 : 2,979,284 = 2,979,284 : x
  2. Step 2: Convert to fraction form
    1,975,815/2,979,284 = 2,979,284/x
  3. Step 3: Cross multiply
    1,975,815x = 2,979,284 × 2,979,284
  4. Step 4: Simplify right side
    1,975,815x = 8,876,133,152,656
  5. Step 5: Solve for x
    x = 8,876,133,152,656/1,975,815
  6. Step 6: Final answer
    x = 4,492,390.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.