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Finding the Third Proportional to 1,837,464 and 2,683,620

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Solution

The third proportional to 1,837,464 and 2,683,620 is: 3,919,432.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837,464 : 2,683,620 = 2,683,620 : x
  2. Step 2: Convert to fraction form
    1,837,464/2,683,620 = 2,683,620/x
  3. Step 3: Cross multiply
    1,837,464x = 2,683,620 × 2,683,620
  4. Step 4: Simplify right side
    1,837,464x = 7,201,816,304,400
  5. Step 5: Solve for x
    x = 7,201,816,304,400/1,837,464
  6. Step 6: Final answer
    x = 3,919,432.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.