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Finding the Third Proportional to 1,030,617 and 1,424,088

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Solution

The third proportional to 1,030,617 and 1,424,088 is: 1,967,779.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,617 : 1,424,088 = 1,424,088 : x
  2. Step 2: Convert to fraction form
    1,030,617/1,424,088 = 1,424,088/x
  3. Step 3: Cross multiply
    1,030,617x = 1,424,088 × 1,424,088
  4. Step 4: Simplify right side
    1,030,617x = 2,028,026,631,744
  5. Step 5: Solve for x
    x = 2,028,026,631,744/1,030,617
  6. Step 6: Final answer
    x = 1,967,779.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.