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Finding the Third Proportional to 960,411 and 2,083,614

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Solution

The third proportional to 960,411 and 2,083,614 is: 4,520,405.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,411 : 2,083,614 = 2,083,614 : x
  2. Step 2: Convert to fraction form
    960,411/2,083,614 = 2,083,614/x
  3. Step 3: Cross multiply
    960,411x = 2,083,614 × 2,083,614
  4. Step 4: Simplify right side
    960,411x = 4,341,447,300,996
  5. Step 5: Solve for x
    x = 4,341,447,300,996/960,411
  6. Step 6: Final answer
    x = 4,520,405.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.