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Finding the Third Proportional to 1,051,076.81 and 2,298,447

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Solution

The third proportional to 1,051,076.81 and 2,298,447 is: 5,026,139.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051,076.81 : 2,298,447 = 2,298,447 : x
  2. Step 2: Convert to fraction form
    1,051,076.81/2,298,447 = 2,298,447/x
  3. Step 3: Cross multiply
    1,051,076.81x = 2,298,447 × 2,298,447
  4. Step 4: Simplify right side
    1,051,076.81x = 5,282,858,611,809
  5. Step 5: Solve for x
    x = 5,282,858,611,809/1,051,076.81
  6. Step 6: Final answer
    x = 5,026,139.43

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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.