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Finding the Third Proportional to 2,477,250 and 3,828,609

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Solution

The third proportional to 2,477,250 and 3,828,609 is: 5,917,144.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477,250 : 3,828,609 = 3,828,609 : x
  2. Step 2: Convert to fraction form
    2,477,250/3,828,609 = 3,828,609/x
  3. Step 3: Cross multiply
    2,477,250x = 3,828,609 × 3,828,609
  4. Step 4: Simplify right side
    2,477,250x = 14,658,246,874,881
  5. Step 5: Solve for x
    x = 14,658,246,874,881/2,477,250
  6. Step 6: Final answer
    x = 5,917,144.77

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.