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Finding the Third Proportional to 1,655,742 and 3,621,444

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Solution

The third proportional to 1,655,742 and 3,621,444 is: 7,920,833.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655,742 : 3,621,444 = 3,621,444 : x
  2. Step 2: Convert to fraction form
    1,655,742/3,621,444 = 3,621,444/x
  3. Step 3: Cross multiply
    1,655,742x = 3,621,444 × 3,621,444
  4. Step 4: Simplify right side
    1,655,742x = 13,114,856,645,136
  5. Step 5: Solve for x
    x = 13,114,856,645,136/1,655,742
  6. Step 6: Final answer
    x = 7,920,833.47

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Why These Related Problems?

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