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Finding the Third Proportional to 683,103 and 1,019,106

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Solution

The third proportional to 683,103 and 1,019,106 is: 1,520,381.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,103 : 1,019,106 = 1,019,106 : x
  2. Step 2: Convert to fraction form
    683,103/1,019,106 = 1,019,106/x
  3. Step 3: Cross multiply
    683,103x = 1,019,106 × 1,019,106
  4. Step 4: Simplify right side
    683,103x = 1,038,577,039,236
  5. Step 5: Solve for x
    x = 1,038,577,039,236/683,103
  6. Step 6: Final answer
    x = 1,520,381.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.