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Finding the Third Proportional to 689,094,156 and 1,059,187,443

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Solution

The third proportional to 689,094,156 and 1,059,187,443 is: 1,628,047,531.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,094,156 : 1,059,187,443 = 1,059,187,443 : x
  2. Step 2: Convert to fraction form
    689,094,156/1,059,187,443 = 1,059,187,443/x
  3. Step 3: Cross multiply
    689,094,156x = 1,059,187,443 × 1,059,187,443
  4. Step 4: Simplify right side
    689,094,156x = 1,121,878,039,408,878,208
  5. Step 5: Solve for x
    x = 1,121,878,039,408,878,208/689,094,156
  6. Step 6: Final answer
    x = 1,628,047,531.15

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.