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Finding the Third Proportional to 982,386 and 1,467,513

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Solution

The third proportional to 982,386 and 1,467,513 is: 2,192,207.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,386 : 1,467,513 = 1,467,513 : x
  2. Step 2: Convert to fraction form
    982,386/1,467,513 = 1,467,513/x
  3. Step 3: Cross multiply
    982,386x = 1,467,513 × 1,467,513
  4. Step 4: Simplify right side
    982,386x = 2,153,594,405,169
  5. Step 5: Solve for x
    x = 2,153,594,405,169/982,386
  6. Step 6: Final answer
    x = 2,192,207.96

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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.