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Finding the Third Proportional to 970,235 and 2,041,009

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Solution

The third proportional to 970,235 and 2,041,009 is: 4,293,514.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,235 : 2,041,009 = 2,041,009 : x
  2. Step 2: Convert to fraction form
    970,235/2,041,009 = 2,041,009/x
  3. Step 3: Cross multiply
    970,235x = 2,041,009 × 2,041,009
  4. Step 4: Simplify right side
    970,235x = 4,165,717,738,081
  5. Step 5: Solve for x
    x = 4,165,717,738,081/970,235
  6. Step 6: Final answer
    x = 4,293,514.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.