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Finding the Third Proportional to 1,620,411.75 and 3,492,039.84

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Solution

The third proportional to 1,620,411.75 and 3,492,039.84 is: 7,525,459.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620,411.75 : 3,492,039.84 = 3,492,039.84 : x
  2. Step 2: Convert to fraction form
    1,620,411.75/3,492,039.84 = 3,492,039.84/x
  3. Step 3: Cross multiply
    1,620,411.75x = 3,492,039.84 × 3,492,039.84
  4. Step 4: Simplify right side
    1,620,411.75x = 12,194,342,270,337.52
  5. Step 5: Solve for x
    x = 12,194,342,270,337.52/1,620,411.75
  6. Step 6: Final answer
    x = 7,525,459.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.