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Finding the Third Proportional to 1,477,316 and 3,175,314

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Solution

The third proportional to 1,477,316 and 3,175,314 is: 6,824,957.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477,316 : 3,175,314 = 3,175,314 : x
  2. Step 2: Convert to fraction form
    1,477,316/3,175,314 = 3,175,314/x
  3. Step 3: Cross multiply
    1,477,316x = 3,175,314 × 3,175,314
  4. Step 4: Simplify right side
    1,477,316x = 10,082,618,998,596
  5. Step 5: Solve for x
    x = 10,082,618,998,596/1,477,316
  6. Step 6: Final answer
    x = 6,824,957.56

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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.