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Finding the Third Proportional to 2,128,263 and 4,670,415.75

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Solution

The third proportional to 2,128,263 and 4,670,415.75 is: 10,249,101.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128,263 : 4,670,415.75 = 4,670,415.75 : x
  2. Step 2: Convert to fraction form
    2,128,263/4,670,415.75 = 4,670,415.75/x
  3. Step 3: Cross multiply
    2,128,263x = 4,670,415.75 × 4,670,415.75
  4. Step 4: Simplify right side
    2,128,263x = 21,812,783,277,848.06
  5. Step 5: Solve for x
    x = 21,812,783,277,848.06/2,128,263
  6. Step 6: Final answer
    x = 10,249,101.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.