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Finding the Third Proportional to 846,201 and 1,762,390

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Solution

The third proportional to 846,201 and 1,762,390 is: 3,670,544.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,201 : 1,762,390 = 1,762,390 : x
  2. Step 2: Convert to fraction form
    846,201/1,762,390 = 1,762,390/x
  3. Step 3: Cross multiply
    846,201x = 1,762,390 × 1,762,390
  4. Step 4: Simplify right side
    846,201x = 3,106,018,512,100
  5. Step 5: Solve for x
    x = 3,106,018,512,100/846,201
  6. Step 6: Final answer
    x = 3,670,544.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.