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Finding the Third Proportional to 778,038 and 1,183,047

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Solution

The third proportional to 778,038 and 1,183,047 is: 1,798,884.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,038 : 1,183,047 = 1,183,047 : x
  2. Step 2: Convert to fraction form
    778,038/1,183,047 = 1,183,047/x
  3. Step 3: Cross multiply
    778,038x = 1,183,047 × 1,183,047
  4. Step 4: Simplify right side
    778,038x = 1,399,600,204,209
  5. Step 5: Solve for x
    x = 1,399,600,204,209/778,038
  6. Step 6: Final answer
    x = 1,798,884.12

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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.