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Finding the Third Proportional to 477,096.33 and 1,037,025.28

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Solution

The third proportional to 477,096.33 and 1,037,025.28 is: 2,254,097.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,096.33 : 1,037,025.28 = 1,037,025.28 : x
  2. Step 2: Convert to fraction form
    477,096.33/1,037,025.28 = 1,037,025.28/x
  3. Step 3: Cross multiply
    477,096.33x = 1,037,025.28 × 1,037,025.28
  4. Step 4: Simplify right side
    477,096.33x = 1,075,421,433,951.64
  5. Step 5: Solve for x
    x = 1,075,421,433,951.64/477,096.33
  6. Step 6: Final answer
    x = 2,254,097.07

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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.