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Finding the Third Proportional to 1,281,800 and 2,967,284

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Solution

The third proportional to 1,281,800 and 2,967,284 is: 6,869,070.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281,800 : 2,967,284 = 2,967,284 : x
  2. Step 2: Convert to fraction form
    1,281,800/2,967,284 = 2,967,284/x
  3. Step 3: Cross multiply
    1,281,800x = 2,967,284 × 2,967,284
  4. Step 4: Simplify right side
    1,281,800x = 8,804,774,336,656
  5. Step 5: Solve for x
    x = 8,804,774,336,656/1,281,800
  6. Step 6: Final answer
    x = 6,869,070.32

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.