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Finding the Third Proportional to 1,736,649 and 2,683,705.50

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Solution

The third proportional to 1,736,649 and 2,683,705.50 is: 4,147,225.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736,649 : 2,683,705.50 = 2,683,705.50 : x
  2. Step 2: Convert to fraction form
    1,736,649/2,683,705.50 = 2,683,705.50/x
  3. Step 3: Cross multiply
    1,736,649x = 2,683,705.50 × 2,683,705.50
  4. Step 4: Simplify right side
    1,736,649x = 7,202,275,210,730.25
  5. Step 5: Solve for x
    x = 7,202,275,210,730.25/1,736,649
  6. Step 6: Final answer
    x = 4,147,225.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.