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Finding the Third Proportional to 493,110,765 and 740,314,755

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Solution

The third proportional to 493,110,765 and 740,314,755 is: 1,111,445,896.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,110,765 : 740,314,755 = 740,314,755 : x
  2. Step 2: Convert to fraction form
    493,110,765/740,314,755 = 740,314,755/x
  3. Step 3: Cross multiply
    493,110,765x = 740,314,755 × 740,314,755
  4. Step 4: Simplify right side
    493,110,765x = 548,065,936,470,710,016
  5. Step 5: Solve for x
    x = 548,065,936,470,710,016/493,110,765
  6. Step 6: Final answer
    x = 1,111,445,896.89

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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.