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Finding the Third Proportional to 679,716,096.75 and 1,049,600,566.69

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Solution

The third proportional to 679,716,096.75 and 1,049,600,566.69 is: 1,620,766,897.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,716,096.75 : 1,049,600,566.69 = 1,049,600,566.69 : x
  2. Step 2: Convert to fraction form
    679,716,096.75/1,049,600,566.69 = 1,049,600,566.69/x
  3. Step 3: Cross multiply
    679,716,096.75x = 1,049,600,566.69 × 1,049,600,566.69
  4. Step 4: Simplify right side
    679,716,096.75x = 1,101,661,349,590,721,152
  5. Step 5: Solve for x
    x = 1,101,661,349,590,721,152/679,716,096.75
  6. Step 6: Final answer
    x = 1,620,766,897.91

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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.