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Finding the Third Proportional to 503,497,400 and 777,605,996

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Solution

The third proportional to 503,497,400 and 777,605,996 is: 1,200,941,822.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,497,400 : 777,605,996 = 777,605,996 : x
  2. Step 2: Convert to fraction form
    503,497,400/777,605,996 = 777,605,996/x
  3. Step 3: Cross multiply
    503,497,400x = 777,605,996 × 777,605,996
  4. Step 4: Simplify right side
    503,497,400x = 604,671,085,015,152,000
  5. Step 5: Solve for x
    x = 604,671,085,015,152,000/503,497,400
  6. Step 6: Final answer
    x = 1,200,941,822.17

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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.