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Finding the Third Proportional to 2,273,588 and 4,862,260

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Solution

The third proportional to 2,273,588 and 4,862,260 is: 10,398,353.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273,588 : 4,862,260 = 4,862,260 : x
  2. Step 2: Convert to fraction form
    2,273,588/4,862,260 = 4,862,260/x
  3. Step 3: Cross multiply
    2,273,588x = 4,862,260 × 4,862,260
  4. Step 4: Simplify right side
    2,273,588x = 23,641,572,307,600
  5. Step 5: Solve for x
    x = 23,641,572,307,600/2,273,588
  6. Step 6: Final answer
    x = 10,398,353.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.