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Finding the Third Proportional to 1,680,465 and 2,521,926

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Solution

The third proportional to 1,680,465 and 2,521,926 is: 3,784,732.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680,465 : 2,521,926 = 2,521,926 : x
  2. Step 2: Convert to fraction form
    1,680,465/2,521,926 = 2,521,926/x
  3. Step 3: Cross multiply
    1,680,465x = 2,521,926 × 2,521,926
  4. Step 4: Simplify right side
    1,680,465x = 6,360,110,749,476
  5. Step 5: Solve for x
    x = 6,360,110,749,476/1,680,465
  6. Step 6: Final answer
    x = 3,784,732.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.