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Finding the Third Proportional to 1,590,642 and 2,409,129

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Solution

The third proportional to 1,590,642 and 2,409,129 is: 3,648,779.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590,642 : 2,409,129 = 2,409,129 : x
  2. Step 2: Convert to fraction form
    1,590,642/2,409,129 = 2,409,129/x
  3. Step 3: Cross multiply
    1,590,642x = 2,409,129 × 2,409,129
  4. Step 4: Simplify right side
    1,590,642x = 5,803,902,538,641
  5. Step 5: Solve for x
    x = 5,803,902,538,641/1,590,642
  6. Step 6: Final answer
    x = 3,648,779.89

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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.