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Finding the Third Proportional to 2,290,567 and 4,884,470

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Solution

The third proportional to 2,290,567 and 4,884,470 is: 10,415,782.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290,567 : 4,884,470 = 4,884,470 : x
  2. Step 2: Convert to fraction form
    2,290,567/4,884,470 = 4,884,470/x
  3. Step 3: Cross multiply
    2,290,567x = 4,884,470 × 4,884,470
  4. Step 4: Simplify right side
    2,290,567x = 23,858,047,180,900
  5. Step 5: Solve for x
    x = 23,858,047,180,900/2,290,567
  6. Step 6: Final answer
    x = 10,415,782.28

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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.