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Finding the Third Proportional to 2,130,894 and 4,681,692

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Solution

The third proportional to 2,130,894 and 4,681,692 is: 10,285,936.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130,894 : 4,681,692 = 4,681,692 : x
  2. Step 2: Convert to fraction form
    2,130,894/4,681,692 = 4,681,692/x
  3. Step 3: Cross multiply
    2,130,894x = 4,681,692 × 4,681,692
  4. Step 4: Simplify right side
    2,130,894x = 21,918,239,982,864
  5. Step 5: Solve for x
    x = 21,918,239,982,864/2,130,894
  6. Step 6: Final answer
    x = 10,285,936.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.