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Finding the Third Proportional to 1,835,014 and 4,317,431

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Solution

The third proportional to 1,835,014 and 4,317,431 is: 10,158,075.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835,014 : 4,317,431 = 4,317,431 : x
  2. Step 2: Convert to fraction form
    1,835,014/4,317,431 = 4,317,431/x
  3. Step 3: Cross multiply
    1,835,014x = 4,317,431 × 4,317,431
  4. Step 4: Simplify right side
    1,835,014x = 18,640,210,439,761
  5. Step 5: Solve for x
    x = 18,640,210,439,761/1,835,014
  6. Step 6: Final answer
    x = 10,158,075.33

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.