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Finding the Third Proportional to 811,692,954 and 1,254,814,188

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Solution

The third proportional to 811,692,954 and 1,254,814,188 is: 1,939,845,157.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,692,954 : 1,254,814,188 = 1,254,814,188 : x
  2. Step 2: Convert to fraction form
    811,692,954/1,254,814,188 = 1,254,814,188/x
  3. Step 3: Cross multiply
    811,692,954x = 1,254,814,188 × 1,254,814,188
  4. Step 4: Simplify right side
    811,692,954x = 1,574,558,646,406,099,456
  5. Step 5: Solve for x
    x = 1,574,558,646,406,099,456/811,692,954
  6. Step 6: Final answer
    x = 1,939,845,157.76

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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.