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Finding the Third Proportional to 609,200,155 and 941,745,772

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Solution

The third proportional to 609,200,155 and 941,745,772 is: 1,455,818,899.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,200,155 : 941,745,772 = 941,745,772 : x
  2. Step 2: Convert to fraction form
    609,200,155/941,745,772 = 941,745,772/x
  3. Step 3: Cross multiply
    609,200,155x = 941,745,772 × 941,745,772
  4. Step 4: Simplify right side
    609,200,155x = 886,885,099,079,875,968
  5. Step 5: Solve for x
    x = 886,885,099,079,875,968/609,200,155
  6. Step 6: Final answer
    x = 1,455,818,899.26

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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.