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Finding the Third Proportional to 1,477,398.23 and 3,235,057.10

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Solution

The third proportional to 1,477,398.23 and 3,235,057.10 is: 7,083,800.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477,398.23 : 3,235,057.10 = 3,235,057.10 : x
  2. Step 2: Convert to fraction form
    1,477,398.23/3,235,057.10 = 3,235,057.10/x
  3. Step 3: Cross multiply
    1,477,398.23x = 3,235,057.10 × 3,235,057.10
  4. Step 4: Simplify right side
    1,477,398.23x = 10,465,594,450,369.96
  5. Step 5: Solve for x
    x = 10,465,594,450,369.96/1,477,398.23
  6. Step 6: Final answer
    x = 7,083,800.57

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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.