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Finding the Third Proportional to 600,114 and 928,926

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Solution

The third proportional to 600,114 and 928,926 is: 1,437,899.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,114 : 928,926 = 928,926 : x
  2. Step 2: Convert to fraction form
    600,114/928,926 = 928,926/x
  3. Step 3: Cross multiply
    600,114x = 928,926 × 928,926
  4. Step 4: Simplify right side
    600,114x = 862,903,513,476
  5. Step 5: Solve for x
    x = 862,903,513,476/600,114
  6. Step 6: Final answer
    x = 1,437,899.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.