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Finding the Third Proportional to 449,764 and 963,284

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Solution

The third proportional to 449,764 and 963,284 is: 2,063,117.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,764 : 963,284 = 963,284 : x
  2. Step 2: Convert to fraction form
    449,764/963,284 = 963,284/x
  3. Step 3: Cross multiply
    449,764x = 963,284 × 963,284
  4. Step 4: Simplify right side
    449,764x = 927,916,064,656
  5. Step 5: Solve for x
    x = 927,916,064,656/449,764
  6. Step 6: Final answer
    x = 2,063,117.69

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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.