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Finding the Third Proportional to 1,037,488.50 and 2,198,097

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Solution

The third proportional to 1,037,488.50 and 2,198,097 is: 4,657,044.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037,488.50 : 2,198,097 = 2,198,097 : x
  2. Step 2: Convert to fraction form
    1,037,488.50/2,198,097 = 2,198,097/x
  3. Step 3: Cross multiply
    1,037,488.50x = 2,198,097 × 2,198,097
  4. Step 4: Simplify right side
    1,037,488.50x = 4,831,630,421,409
  5. Step 5: Solve for x
    x = 4,831,630,421,409/1,037,488.50
  6. Step 6: Final answer
    x = 4,657,044.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.