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Finding the Third Proportional to 1,590,658 and 2,409,141

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Solution

The third proportional to 1,590,658 and 2,409,141 is: 3,648,779.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590,658 : 2,409,141 = 2,409,141 : x
  2. Step 2: Convert to fraction form
    1,590,658/2,409,141 = 2,409,141/x
  3. Step 3: Cross multiply
    1,590,658x = 2,409,141 × 2,409,141
  4. Step 4: Simplify right side
    1,590,658x = 5,803,960,357,881
  5. Step 5: Solve for x
    x = 5,803,960,357,881/1,590,658
  6. Step 6: Final answer
    x = 3,648,779.54

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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.