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Finding the Third Proportional to 714,610,296 and 1,092,937,536

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Solution

The third proportional to 714,610,296 and 1,092,937,536 is: 1,671,557,860.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,610,296 : 1,092,937,536 = 1,092,937,536 : x
  2. Step 2: Convert to fraction form
    714,610,296/1,092,937,536 = 1,092,937,536/x
  3. Step 3: Cross multiply
    714,610,296x = 1,092,937,536 × 1,092,937,536
  4. Step 4: Simplify right side
    714,610,296x = 1,194,512,457,597,751,296
  5. Step 5: Solve for x
    x = 1,194,512,457,597,751,296/714,610,296
  6. Step 6: Final answer
    x = 1,671,557,860.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.