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Finding the Third Proportional to 1,869,569 and 4,066,706

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Solution

The third proportional to 1,869,569 and 4,066,706 is: 8,845,941.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869,569 : 4,066,706 = 4,066,706 : x
  2. Step 2: Convert to fraction form
    1,869,569/4,066,706 = 4,066,706/x
  3. Step 3: Cross multiply
    1,869,569x = 4,066,706 × 4,066,706
  4. Step 4: Simplify right side
    1,869,569x = 16,538,097,690,436
  5. Step 5: Solve for x
    x = 16,538,097,690,436/1,869,569
  6. Step 6: Final answer
    x = 8,845,941.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.