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Finding the Third Proportional to 1,355,951 and 2,051,421.50

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Solution

The third proportional to 1,355,951 and 2,051,421.50 is: 3,103,600.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355,951 : 2,051,421.50 = 2,051,421.50 : x
  2. Step 2: Convert to fraction form
    1,355,951/2,051,421.50 = 2,051,421.50/x
  3. Step 3: Cross multiply
    1,355,951x = 2,051,421.50 × 2,051,421.50
  4. Step 4: Simplify right side
    1,355,951x = 4,208,330,170,662.25
  5. Step 5: Solve for x
    x = 4,208,330,170,662.25/1,355,951
  6. Step 6: Final answer
    x = 3,103,600.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.