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Finding the Third Proportional to 455,901 and 989,076

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Solution

The third proportional to 455,901 and 989,076 is: 2,145,797.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,901 : 989,076 = 989,076 : x
  2. Step 2: Convert to fraction form
    455,901/989,076 = 989,076/x
  3. Step 3: Cross multiply
    455,901x = 989,076 × 989,076
  4. Step 4: Simplify right side
    455,901x = 978,271,333,776
  5. Step 5: Solve for x
    x = 978,271,333,776/455,901
  6. Step 6: Final answer
    x = 2,145,797.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.