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Finding the Third Proportional to 1,477,581 and 3,235,419

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Solution

The third proportional to 1,477,581 and 3,235,419 is: 7,084,509.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477,581 : 3,235,419 = 3,235,419 : x
  2. Step 2: Convert to fraction form
    1,477,581/3,235,419 = 3,235,419/x
  3. Step 3: Cross multiply
    1,477,581x = 3,235,419 × 3,235,419
  4. Step 4: Simplify right side
    1,477,581x = 10,467,936,105,561
  5. Step 5: Solve for x
    x = 10,467,936,105,561/1,477,581
  6. Step 6: Final answer
    x = 7,084,509.14

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.