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Finding the Third Proportional to 1,477,089 and 3,180,141

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Solution

The third proportional to 1,477,089 and 3,180,141 is: 6,846,775.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477,089 : 3,180,141 = 3,180,141 : x
  2. Step 2: Convert to fraction form
    1,477,089/3,180,141 = 3,180,141/x
  3. Step 3: Cross multiply
    1,477,089x = 3,180,141 × 3,180,141
  4. Step 4: Simplify right side
    1,477,089x = 10,113,296,779,881
  5. Step 5: Solve for x
    x = 10,113,296,779,881/1,477,089
  6. Step 6: Final answer
    x = 6,846,775.50

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.