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Finding the Third Proportional to 460,248 and 1,004,169

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Solution

The third proportional to 460,248 and 1,004,169 is: 2,190,895.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,248 : 1,004,169 = 1,004,169 : x
  2. Step 2: Convert to fraction form
    460,248/1,004,169 = 1,004,169/x
  3. Step 3: Cross multiply
    460,248x = 1,004,169 × 1,004,169
  4. Step 4: Simplify right side
    460,248x = 1,008,355,380,561
  5. Step 5: Solve for x
    x = 1,008,355,380,561/460,248
  6. Step 6: Final answer
    x = 2,190,895.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.