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Finding the Third Proportional to 1,461,948 and 2,250,014

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Solution

The third proportional to 1,461,948 and 2,250,014 is: 3,462,888.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461,948 : 2,250,014 = 2,250,014 : x
  2. Step 2: Convert to fraction form
    1,461,948/2,250,014 = 2,250,014/x
  3. Step 3: Cross multiply
    1,461,948x = 2,250,014 × 2,250,014
  4. Step 4: Simplify right side
    1,461,948x = 5,062,563,000,196
  5. Step 5: Solve for x
    x = 5,062,563,000,196/1,461,948
  6. Step 6: Final answer
    x = 3,462,888.56

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.