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Finding the Third Proportional to 476,961 and 1,009,137

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Solution

The third proportional to 476,961 and 1,009,137 is: 2,135,095.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,961 : 1,009,137 = 1,009,137 : x
  2. Step 2: Convert to fraction form
    476,961/1,009,137 = 1,009,137/x
  3. Step 3: Cross multiply
    476,961x = 1,009,137 × 1,009,137
  4. Step 4: Simplify right side
    476,961x = 1,018,357,484,769
  5. Step 5: Solve for x
    x = 1,018,357,484,769/476,961
  6. Step 6: Final answer
    x = 2,135,095.92

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.