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Finding the Third Proportional to 982,242 and 1,386,429

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Solution

The third proportional to 982,242 and 1,386,429 is: 1,956,936.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,242 : 1,386,429 = 1,386,429 : x
  2. Step 2: Convert to fraction form
    982,242/1,386,429 = 1,386,429/x
  3. Step 3: Cross multiply
    982,242x = 1,386,429 × 1,386,429
  4. Step 4: Simplify right side
    982,242x = 1,922,185,372,041
  5. Step 5: Solve for x
    x = 1,922,185,372,041/982,242
  6. Step 6: Final answer
    x = 1,956,936.65

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.