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Finding the Third Proportional to 455,882 and 978,222

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Solution

The third proportional to 455,882 and 978,222 is: 2,099,048.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,882 : 978,222 = 978,222 : x
  2. Step 2: Convert to fraction form
    455,882/978,222 = 978,222/x
  3. Step 3: Cross multiply
    455,882x = 978,222 × 978,222
  4. Step 4: Simplify right side
    455,882x = 956,918,281,284
  5. Step 5: Solve for x
    x = 956,918,281,284/455,882
  6. Step 6: Final answer
    x = 2,099,048.18

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.