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Finding the Third Proportional to 973,384 and 2,081,284

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Solution

The third proportional to 973,384 and 2,081,284 is: 4,450,189.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,384 : 2,081,284 = 2,081,284 : x
  2. Step 2: Convert to fraction form
    973,384/2,081,284 = 2,081,284/x
  3. Step 3: Cross multiply
    973,384x = 2,081,284 × 2,081,284
  4. Step 4: Simplify right side
    973,384x = 4,331,743,088,656
  5. Step 5: Solve for x
    x = 4,331,743,088,656/973,384
  6. Step 6: Final answer
    x = 4,450,189.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.