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Finding the Third Proportional to 720,862,557.75 and 1,083,213,243

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Solution

The third proportional to 720,862,557.75 and 1,083,213,243 is: 1,627,704,084.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,862,557.75 : 1,083,213,243 = 1,083,213,243 : x
  2. Step 2: Convert to fraction form
    720,862,557.75/1,083,213,243 = 1,083,213,243/x
  3. Step 3: Cross multiply
    720,862,557.75x = 1,083,213,243 × 1,083,213,243
  4. Step 4: Simplify right side
    720,862,557.75x = 1,173,350,929,810,577,152
  5. Step 5: Solve for x
    x = 1,173,350,929,810,577,152/720,862,557.75
  6. Step 6: Final answer
    x = 1,627,704,084.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.