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Finding the Third Proportional to 511,894.69 and 1,114,582.78

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Solution

The third proportional to 511,894.69 and 1,114,582.78 is: 2,426,856.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,894.69 : 1,114,582.78 = 1,114,582.78 : x
  2. Step 2: Convert to fraction form
    511,894.69/1,114,582.78 = 1,114,582.78/x
  3. Step 3: Cross multiply
    511,894.69x = 1,114,582.78 × 1,114,582.78
  4. Step 4: Simplify right side
    511,894.69x = 1,242,294,776,258.99
  5. Step 5: Solve for x
    x = 1,242,294,776,258.99/511,894.69
  6. Step 6: Final answer
    x = 2,426,856.16

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.