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Finding the Third Proportional to 2,095,306 and 4,489,465

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Solution

The third proportional to 2,095,306 and 4,489,465 is: 9,619,261.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095,306 : 4,489,465 = 4,489,465 : x
  2. Step 2: Convert to fraction form
    2,095,306/4,489,465 = 4,489,465/x
  3. Step 3: Cross multiply
    2,095,306x = 4,489,465 × 4,489,465
  4. Step 4: Simplify right side
    2,095,306x = 20,155,295,986,225
  5. Step 5: Solve for x
    x = 20,155,295,986,225/2,095,306
  6. Step 6: Final answer
    x = 9,619,261.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.