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Finding the Third Proportional to 643,814 and 1,019,223

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Solution

The third proportional to 643,814 and 1,019,223 is: 1,613,533.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,814 : 1,019,223 = 1,019,223 : x
  2. Step 2: Convert to fraction form
    643,814/1,019,223 = 1,019,223/x
  3. Step 3: Cross multiply
    643,814x = 1,019,223 × 1,019,223
  4. Step 4: Simplify right side
    643,814x = 1,038,815,523,729
  5. Step 5: Solve for x
    x = 1,038,815,523,729/643,814
  6. Step 6: Final answer
    x = 1,613,533.60

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.