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Finding the Third Proportional to 1,675,421 and 3,658,090

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Solution

The third proportional to 1,675,421 and 3,658,090 is: 7,987,020.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675,421 : 3,658,090 = 3,658,090 : x
  2. Step 2: Convert to fraction form
    1,675,421/3,658,090 = 3,658,090/x
  3. Step 3: Cross multiply
    1,675,421x = 3,658,090 × 3,658,090
  4. Step 4: Simplify right side
    1,675,421x = 13,381,622,448,100
  5. Step 5: Solve for x
    x = 13,381,622,448,100/1,675,421
  6. Step 6: Final answer
    x = 7,987,020.84

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.