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Finding the Third Proportional to 2,286,370 and 4,876,412

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Solution

The third proportional to 2,286,370 and 4,876,412 is: 10,400,501.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286,370 : 4,876,412 = 4,876,412 : x
  2. Step 2: Convert to fraction form
    2,286,370/4,876,412 = 4,876,412/x
  3. Step 3: Cross multiply
    2,286,370x = 4,876,412 × 4,876,412
  4. Step 4: Simplify right side
    2,286,370x = 23,779,393,993,744
  5. Step 5: Solve for x
    x = 23,779,393,993,744/2,286,370
  6. Step 6: Final answer
    x = 10,400,501.23

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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.