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Finding the Third Proportional to 1,400,257.13 and 2,113,266.38

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Solution

The third proportional to 1,400,257.13 and 2,113,266.38 is: 3,189,339.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400,257.13 : 2,113,266.38 = 2,113,266.38 : x
  2. Step 2: Convert to fraction form
    1,400,257.13/2,113,266.38 = 2,113,266.38/x
  3. Step 3: Cross multiply
    1,400,257.13x = 2,113,266.38 × 2,113,266.38
  4. Step 4: Simplify right side
    1,400,257.13x = 4,465,894,771,705.64
  5. Step 5: Solve for x
    x = 4,465,894,771,705.64/1,400,257.13
  6. Step 6: Final answer
    x = 3,189,339.08

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.