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Finding the Third Proportional to 584,889,228 and 908,570,760

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Solution

The third proportional to 584,889,228 and 908,570,760 is: 1,411,379,773.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,889,228 : 908,570,760 = 908,570,760 : x
  2. Step 2: Convert to fraction form
    584,889,228/908,570,760 = 908,570,760/x
  3. Step 3: Cross multiply
    584,889,228x = 908,570,760 × 908,570,760
  4. Step 4: Simplify right side
    584,889,228x = 825,500,825,926,977,536
  5. Step 5: Solve for x
    x = 825,500,825,926,977,536/584,889,228
  6. Step 6: Final answer
    x = 1,411,379,773.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.