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Finding the Third Proportional to 2,424,964 and 3,622,470

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Solution

The third proportional to 2,424,964 and 3,622,470 is: 5,411,333.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424,964 : 3,622,470 = 3,622,470 : x
  2. Step 2: Convert to fraction form
    2,424,964/3,622,470 = 3,622,470/x
  3. Step 3: Cross multiply
    2,424,964x = 3,622,470 × 3,622,470
  4. Step 4: Simplify right side
    2,424,964x = 13,122,288,900,900
  5. Step 5: Solve for x
    x = 13,122,288,900,900/2,424,964
  6. Step 6: Final answer
    x = 5,411,333.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.