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Finding the Third Proportional to 449,386 and 978,118

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Solution

The third proportional to 449,386 and 978,118 is: 2,128,937.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,386 : 978,118 = 978,118 : x
  2. Step 2: Convert to fraction form
    449,386/978,118 = 978,118/x
  3. Step 3: Cross multiply
    449,386x = 978,118 × 978,118
  4. Step 4: Simplify right side
    449,386x = 956,714,821,924
  5. Step 5: Solve for x
    x = 956,714,821,924/449,386
  6. Step 6: Final answer
    x = 2,128,937.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.