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Finding the Third Proportional to 1,621,152 and 2,369,196

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Solution

The third proportional to 1,621,152 and 2,369,196 is: 3,462,408.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621,152 : 2,369,196 = 2,369,196 : x
  2. Step 2: Convert to fraction form
    1,621,152/2,369,196 = 2,369,196/x
  3. Step 3: Cross multiply
    1,621,152x = 2,369,196 × 2,369,196
  4. Step 4: Simplify right side
    1,621,152x = 5,613,089,686,416
  5. Step 5: Solve for x
    x = 5,613,089,686,416/1,621,152
  6. Step 6: Final answer
    x = 3,462,408.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.