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Finding the Third Proportional to 970,240 and 2,041,020

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Solution

The third proportional to 970,240 and 2,041,020 is: 4,293,538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,240 : 2,041,020 = 2,041,020 : x
  2. Step 2: Convert to fraction form
    970,240/2,041,020 = 2,041,020/x
  3. Step 3: Cross multiply
    970,240x = 2,041,020 × 2,041,020
  4. Step 4: Simplify right side
    970,240x = 4,165,762,640,400
  5. Step 5: Solve for x
    x = 4,165,762,640,400/970,240
  6. Step 6: Final answer
    x = 4,293,538.34

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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.