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Finding the Third Proportional to 1,531,938 and 2,424,633

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Solution

The third proportional to 1,531,938 and 2,424,633 is: 3,837,521.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531,938 : 2,424,633 = 2,424,633 : x
  2. Step 2: Convert to fraction form
    1,531,938/2,424,633 = 2,424,633/x
  3. Step 3: Cross multiply
    1,531,938x = 2,424,633 × 2,424,633
  4. Step 4: Simplify right side
    1,531,938x = 5,878,845,184,689
  5. Step 5: Solve for x
    x = 5,878,845,184,689/1,531,938
  6. Step 6: Final answer
    x = 3,837,521.61

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.