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Finding the Third Proportional to 2,030,706 and 4,411,544.63

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Solution

The third proportional to 2,030,706 and 4,411,544.63 is: 9,583,724.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030,706 : 4,411,544.63 = 4,411,544.63 : x
  2. Step 2: Convert to fraction form
    2,030,706/4,411,544.63 = 4,411,544.63/x
  3. Step 3: Cross multiply
    2,030,706x = 4,411,544.63 × 4,411,544.63
  4. Step 4: Simplify right side
    2,030,706x = 19,461,725,978,366.39
  5. Step 5: Solve for x
    x = 19,461,725,978,366.39/2,030,706
  6. Step 6: Final answer
    x = 9,583,724.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.