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Finding the Third Proportional to 977,067 and 2,122,332

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Solution

The third proportional to 977,067 and 2,122,332 is: 4,610,014.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,067 : 2,122,332 = 2,122,332 : x
  2. Step 2: Convert to fraction form
    977,067/2,122,332 = 2,122,332/x
  3. Step 3: Cross multiply
    977,067x = 2,122,332 × 2,122,332
  4. Step 4: Simplify right side
    977,067x = 4,504,293,118,224
  5. Step 5: Solve for x
    x = 4,504,293,118,224/977,067
  6. Step 6: Final answer
    x = 4,610,014.58

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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.