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Finding the Third Proportional to 912,977 and 1,424,735

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Solution

The third proportional to 912,977 and 1,424,735 is: 2,223,352.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,977 : 1,424,735 = 1,424,735 : x
  2. Step 2: Convert to fraction form
    912,977/1,424,735 = 1,424,735/x
  3. Step 3: Cross multiply
    912,977x = 1,424,735 × 1,424,735
  4. Step 4: Simplify right side
    912,977x = 2,029,869,820,225
  5. Step 5: Solve for x
    x = 2,029,869,820,225/912,977
  6. Step 6: Final answer
    x = 2,223,352.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.