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Finding the Third Proportional to 851,201 and 1,868,248

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Solution

The third proportional to 851,201 and 1,868,248 is: 4,100,501.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,201 : 1,868,248 = 1,868,248 : x
  2. Step 2: Convert to fraction form
    851,201/1,868,248 = 1,868,248/x
  3. Step 3: Cross multiply
    851,201x = 1,868,248 × 1,868,248
  4. Step 4: Simplify right side
    851,201x = 3,490,350,589,504
  5. Step 5: Solve for x
    x = 3,490,350,589,504/851,201
  6. Step 6: Final answer
    x = 4,100,501.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.