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Finding the Third Proportional to 1,595,029.22 and 3,500,063.16

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Solution

The third proportional to 1,595,029.22 and 3,500,063.16 is: 7,680,387.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595,029.22 : 3,500,063.16 = 3,500,063.16 : x
  2. Step 2: Convert to fraction form
    1,595,029.22/3,500,063.16 = 3,500,063.16/x
  3. Step 3: Cross multiply
    1,595,029.22x = 3,500,063.16 × 3,500,063.16
  4. Step 4: Simplify right side
    1,595,029.22x = 12,250,442,097,738.71
  5. Step 5: Solve for x
    x = 12,250,442,097,738.71/1,595,029.22
  6. Step 6: Final answer
    x = 7,680,387.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.