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Finding the Third Proportional to 310,901,938 and 664,850,598

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Solution

The third proportional to 310,901,938 and 664,850,598 is: 1,421,754,783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,901,938 : 664,850,598 = 664,850,598 : x
  2. Step 2: Convert to fraction form
    310,901,938/664,850,598 = 664,850,598/x
  3. Step 3: Cross multiply
    310,901,938x = 664,850,598 × 664,850,598
  4. Step 4: Simplify right side
    310,901,938x = 442,026,317,660,957,632
  5. Step 5: Solve for x
    x = 442,026,317,660,957,632/310,901,938
  6. Step 6: Final answer
    x = 1,421,754,783.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.