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Finding the Third Proportional to 685,144,950 and 1,027,927,440

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Solution

The third proportional to 685,144,950 and 1,027,927,440 is: 1,542,206,246.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,144,950 : 1,027,927,440 = 1,027,927,440 : x
  2. Step 2: Convert to fraction form
    685,144,950/1,027,927,440 = 1,027,927,440/x
  3. Step 3: Cross multiply
    685,144,950x = 1,027,927,440 × 1,027,927,440
  4. Step 4: Simplify right side
    685,144,950x = 1,056,634,821,904,953,600
  5. Step 5: Solve for x
    x = 1,056,634,821,904,953,600/685,144,950
  6. Step 6: Final answer
    x = 1,542,206,246.88

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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.