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Finding the Third Proportional to 457,004,088 and 696,214,116

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Solution

The third proportional to 457,004,088 and 696,214,116 is: 1,060,634,046.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,004,088 : 696,214,116 = 696,214,116 : x
  2. Step 2: Convert to fraction form
    457,004,088/696,214,116 = 696,214,116/x
  3. Step 3: Cross multiply
    457,004,088x = 696,214,116 × 696,214,116
  4. Step 4: Simplify right side
    457,004,088x = 484,714,095,317,661,440
  5. Step 5: Solve for x
    x = 484,714,095,317,661,440/457,004,088
  6. Step 6: Final answer
    x = 1,060,634,046.93

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.