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Finding the Third Proportional to 424,656 and 920,160

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Solution

The third proportional to 424,656 and 920,160 is: 1,993,836.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,656 : 920,160 = 920,160 : x
  2. Step 2: Convert to fraction form
    424,656/920,160 = 920,160/x
  3. Step 3: Cross multiply
    424,656x = 920,160 × 920,160
  4. Step 4: Simplify right side
    424,656x = 846,694,425,600
  5. Step 5: Solve for x
    x = 846,694,425,600/424,656
  6. Step 6: Final answer
    x = 1,993,836.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.