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Finding the Third Proportional to 604,876,938 and 934,178,085

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Solution

The third proportional to 604,876,938 and 934,178,085 is: 1,442,754,120.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,876,938 : 934,178,085 = 934,178,085 : x
  2. Step 2: Convert to fraction form
    604,876,938/934,178,085 = 934,178,085/x
  3. Step 3: Cross multiply
    604,876,938x = 934,178,085 × 934,178,085
  4. Step 4: Simplify right side
    604,876,938x = 872,688,694,494,267,264
  5. Step 5: Solve for x
    x = 872,688,694,494,267,264/604,876,938
  6. Step 6: Final answer
    x = 1,442,754,120.17

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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.