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Finding the Third Proportional to 968,093.50 and 2,127,284

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Solution

The third proportional to 968,093.50 and 2,127,284 is: 4,674,483.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,093.50 : 2,127,284 = 2,127,284 : x
  2. Step 2: Convert to fraction form
    968,093.50/2,127,284 = 2,127,284/x
  3. Step 3: Cross multiply
    968,093.50x = 2,127,284 × 2,127,284
  4. Step 4: Simplify right side
    968,093.50x = 4,525,337,216,656
  5. Step 5: Solve for x
    x = 4,525,337,216,656/968,093.50
  6. Step 6: Final answer
    x = 4,674,483.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.