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Finding the Third Proportional to 2,832,256.13 and 4,271,894.44

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Solution

The third proportional to 2,832,256.13 and 4,271,894.44 is: 6,443,302.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832,256.13 : 4,271,894.44 = 4,271,894.44 : x
  2. Step 2: Convert to fraction form
    2,832,256.13/4,271,894.44 = 4,271,894.44/x
  3. Step 3: Cross multiply
    2,832,256.13x = 4,271,894.44 × 4,271,894.44
  4. Step 4: Simplify right side
    2,832,256.13x = 18,249,082,085,143.44
  5. Step 5: Solve for x
    x = 18,249,082,085,143.44/2,832,256.13
  6. Step 6: Final answer
    x = 6,443,302.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.