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Finding the Third Proportional to 774,190,287 and 1,146,772,906.50

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Solution

The third proportional to 774,190,287 and 1,146,772,906.50 is: 1,698,662,617.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,190,287 : 1,146,772,906.50 = 1,146,772,906.50 : x
  2. Step 2: Convert to fraction form
    774,190,287/1,146,772,906.50 = 1,146,772,906.50/x
  3. Step 3: Cross multiply
    774,190,287x = 1,146,772,906.50 × 1,146,772,906.50
  4. Step 4: Simplify right side
    774,190,287x = 1,315,088,099,082,457,856
  5. Step 5: Solve for x
    x = 1,315,088,099,082,457,856/774,190,287
  6. Step 6: Final answer
    x = 1,698,662,617.14

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.