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Finding the Third Proportional to 604,876,910 and 934,178,049

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Solution

The third proportional to 604,876,910 and 934,178,049 is: 1,442,754,075.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,876,910 : 934,178,049 = 934,178,049 : x
  2. Step 2: Convert to fraction form
    604,876,910/934,178,049 = 934,178,049/x
  3. Step 3: Cross multiply
    604,876,910x = 934,178,049 × 934,178,049
  4. Step 4: Simplify right side
    604,876,910x = 872,688,627,233,446,400
  5. Step 5: Solve for x
    x = 872,688,627,233,446,400/604,876,910
  6. Step 6: Final answer
    x = 1,442,754,075.76

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Why These Related Problems?

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