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Finding the Third Proportional to 2,355,994.69 and 3,779,984.81

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Solution

The third proportional to 2,355,994.69 and 3,779,984.81 is: 6,064,650.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355,994.69 : 3,779,984.81 = 3,779,984.81 : x
  2. Step 2: Convert to fraction form
    2,355,994.69/3,779,984.81 = 3,779,984.81/x
  3. Step 3: Cross multiply
    2,355,994.69x = 3,779,984.81 × 3,779,984.81
  4. Step 4: Simplify right side
    2,355,994.69x = 14,288,285,182,730.66
  5. Step 5: Solve for x
    x = 14,288,285,182,730.66/2,355,994.69
  6. Step 6: Final answer
    x = 6,064,650.85

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.