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Finding the Third Proportional to 5,793,312 and 8,512,614

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Solution

The third proportional to 5,793,312 and 8,512,614 is: 12,508,319.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,793,312 : 8,512,614 = 8,512,614 : x
  2. Step 2: Convert to fraction form
    5,793,312/8,512,614 = 8,512,614/x
  3. Step 3: Cross multiply
    5,793,312x = 8,512,614 × 8,512,614
  4. Step 4: Simplify right side
    5,793,312x = 72,464,597,112,996
  5. Step 5: Solve for x
    x = 72,464,597,112,996/5,793,312
  6. Step 6: Final answer
    x = 12,508,319.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.