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Finding the Third Proportional to 475,158 and 1,033,969

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Solution

The third proportional to 475,158 and 1,033,969 is: 2,249,971.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,158 : 1,033,969 = 1,033,969 : x
  2. Step 2: Convert to fraction form
    475,158/1,033,969 = 1,033,969/x
  3. Step 3: Cross multiply
    475,158x = 1,033,969 × 1,033,969
  4. Step 4: Simplify right side
    475,158x = 1,069,091,892,961
  5. Step 5: Solve for x
    x = 1,069,091,892,961/475,158
  6. Step 6: Final answer
    x = 2,249,971.36

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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.