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Finding the Third Proportional to 1,604,260 and 3,425,006

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Solution

The third proportional to 1,604,260 and 3,425,006 is: 7,312,197.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604,260 : 3,425,006 = 3,425,006 : x
  2. Step 2: Convert to fraction form
    1,604,260/3,425,006 = 3,425,006/x
  3. Step 3: Cross multiply
    1,604,260x = 3,425,006 × 3,425,006
  4. Step 4: Simplify right side
    1,604,260x = 11,730,666,100,036
  5. Step 5: Solve for x
    x = 11,730,666,100,036/1,604,260
  6. Step 6: Final answer
    x = 7,312,197.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.