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Finding the Third Proportional to 1,374,839 and 2,020,142

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Solution

The third proportional to 1,374,839 and 2,020,142 is: 2,968,328.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374,839 : 2,020,142 = 2,020,142 : x
  2. Step 2: Convert to fraction form
    1,374,839/2,020,142 = 2,020,142/x
  3. Step 3: Cross multiply
    1,374,839x = 2,020,142 × 2,020,142
  4. Step 4: Simplify right side
    1,374,839x = 4,080,973,700,164
  5. Step 5: Solve for x
    x = 4,080,973,700,164/1,374,839
  6. Step 6: Final answer
    x = 2,968,328.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.