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Finding the Third Proportional to 477,045 and 1,036,912

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Solution

The third proportional to 477,045 and 1,036,912 is: 2,253,847.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,045 : 1,036,912 = 1,036,912 : x
  2. Step 2: Convert to fraction form
    477,045/1,036,912 = 1,036,912/x
  3. Step 3: Cross multiply
    477,045x = 1,036,912 × 1,036,912
  4. Step 4: Simplify right side
    477,045x = 1,075,186,495,744
  5. Step 5: Solve for x
    x = 1,075,186,495,744/477,045
  6. Step 6: Final answer
    x = 2,253,847.11

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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.