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Finding the Third Proportional to 584,890,048 and 908,571,964

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Solution

The third proportional to 584,890,048 and 908,571,964 is: 1,411,381,535.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,890,048 : 908,571,964 = 908,571,964 : x
  2. Step 2: Convert to fraction form
    584,890,048/908,571,964 = 908,571,964/x
  3. Step 3: Cross multiply
    584,890,048x = 908,571,964 × 908,571,964
  4. Step 4: Simplify right side
    584,890,048x = 825,503,013,766,817,280
  5. Step 5: Solve for x
    x = 825,503,013,766,817,280/584,890,048
  6. Step 6: Final answer
    x = 1,411,381,535.02

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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.