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Finding the Third Proportional to 920,205 and 1,885,030.50

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Solution

The third proportional to 920,205 and 1,885,030.50 is: 3,861,465.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,205 : 1,885,030.50 = 1,885,030.50 : x
  2. Step 2: Convert to fraction form
    920,205/1,885,030.50 = 1,885,030.50/x
  3. Step 3: Cross multiply
    920,205x = 1,885,030.50 × 1,885,030.50
  4. Step 4: Simplify right side
    920,205x = 3,553,339,985,930.25
  5. Step 5: Solve for x
    x = 3,553,339,985,930.25/920,205
  6. Step 6: Final answer
    x = 3,861,465.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.