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Finding the Third Proportional to 2,286,360 and 4,876,392

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Solution

The third proportional to 2,286,360 and 4,876,392 is: 10,400,461.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286,360 : 4,876,392 = 4,876,392 : x
  2. Step 2: Convert to fraction form
    2,286,360/4,876,392 = 4,876,392/x
  3. Step 3: Cross multiply
    2,286,360x = 4,876,392 × 4,876,392
  4. Step 4: Simplify right side
    2,286,360x = 23,779,198,937,664
  5. Step 5: Solve for x
    x = 23,779,198,937,664/2,286,360
  6. Step 6: Final answer
    x = 10,400,461.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.