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Finding the Third Proportional to 756,658,968 and 1,065,078,246

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Solution

The third proportional to 756,658,968 and 1,065,078,246 is: 1,499,211,293.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,658,968 : 1,065,078,246 = 1,065,078,246 : x
  2. Step 2: Convert to fraction form
    756,658,968/1,065,078,246 = 1,065,078,246/x
  3. Step 3: Cross multiply
    756,658,968x = 1,065,078,246 × 1,065,078,246
  4. Step 4: Simplify right side
    756,658,968x = 1,134,391,670,102,436,480
  5. Step 5: Solve for x
    x = 1,134,391,670,102,436,480/756,658,968
  6. Step 6: Final answer
    x = 1,499,211,293.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.