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Finding the Third Proportional to 493,000 and 1,009,364

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Solution

The third proportional to 493,000 and 1,009,364 is: 2,066,563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,000 : 1,009,364 = 1,009,364 : x
  2. Step 2: Convert to fraction form
    493,000/1,009,364 = 1,009,364/x
  3. Step 3: Cross multiply
    493,000x = 1,009,364 × 1,009,364
  4. Step 4: Simplify right side
    493,000x = 1,018,815,684,496
  5. Step 5: Solve for x
    x = 1,018,815,684,496/493,000
  6. Step 6: Final answer
    x = 2,066,563.25

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.