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Finding the Third Proportional to 1,425,835.50 and 3,170,454

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Solution

The third proportional to 1,425,835.50 and 3,170,454 is: 7,049,746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425,835.50 : 3,170,454 = 3,170,454 : x
  2. Step 2: Convert to fraction form
    1,425,835.50/3,170,454 = 3,170,454/x
  3. Step 3: Cross multiply
    1,425,835.50x = 3,170,454 × 3,170,454
  4. Step 4: Simplify right side
    1,425,835.50x = 10,051,778,566,116
  5. Step 5: Solve for x
    x = 10,051,778,566,116/1,425,835.50
  6. Step 6: Final answer
    x = 7,049,746.32

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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.