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Finding the Third Proportional to 783,667 and 1,600,541

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Solution

The third proportional to 783,667 and 1,600,541 is: 3,268,903.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,667 : 1,600,541 = 1,600,541 : x
  2. Step 2: Convert to fraction form
    783,667/1,600,541 = 1,600,541/x
  3. Step 3: Cross multiply
    783,667x = 1,600,541 × 1,600,541
  4. Step 4: Simplify right side
    783,667x = 2,561,731,492,681
  5. Step 5: Solve for x
    x = 2,561,731,492,681/783,667
  6. Step 6: Final answer
    x = 3,268,903.11

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.