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Finding the Third Proportional to 585,413,032 and 1,156,020,554

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Solution

The third proportional to 585,413,032 and 1,156,020,554 is: 2,282,804,529.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,413,032 : 1,156,020,554 = 1,156,020,554 : x
  2. Step 2: Convert to fraction form
    585,413,032/1,156,020,554 = 1,156,020,554/x
  3. Step 3: Cross multiply
    585,413,032x = 1,156,020,554 × 1,156,020,554
  4. Step 4: Simplify right side
    585,413,032x = 1,336,383,521,270,466,816
  5. Step 5: Solve for x
    x = 1,336,383,521,270,466,816/585,413,032
  6. Step 6: Final answer
    x = 2,282,804,529.83

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.