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Finding the Third Proportional to 948,284 and 1,416,807

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Solution

The third proportional to 948,284 and 1,416,807 is: 2,116,815.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,284 : 1,416,807 = 1,416,807 : x
  2. Step 2: Convert to fraction form
    948,284/1,416,807 = 1,416,807/x
  3. Step 3: Cross multiply
    948,284x = 1,416,807 × 1,416,807
  4. Step 4: Simplify right side
    948,284x = 2,007,342,075,249
  5. Step 5: Solve for x
    x = 2,007,342,075,249/948,284
  6. Step 6: Final answer
    x = 2,116,815.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.