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Finding the Third Proportional to 1,596,280.50 and 3,546,852.75

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Solution

The third proportional to 1,596,280.50 and 3,546,852.75 is: 7,880,923.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,280.50 : 3,546,852.75 = 3,546,852.75 : x
  2. Step 2: Convert to fraction form
    1,596,280.50/3,546,852.75 = 3,546,852.75/x
  3. Step 3: Cross multiply
    1,596,280.50x = 3,546,852.75 × 3,546,852.75
  4. Step 4: Simplify right side
    1,596,280.50x = 12,580,164,430,182.56
  5. Step 5: Solve for x
    x = 12,580,164,430,182.56/1,596,280.50
  6. Step 6: Final answer
    x = 7,880,923.45

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.