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Finding the Third Proportional to 1,010,530.69 and 2,208,459.94

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Solution

The third proportional to 1,010,530.69 and 2,208,459.94 is: 4,826,469.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,530.69 : 2,208,459.94 = 2,208,459.94 : x
  2. Step 2: Convert to fraction form
    1,010,530.69/2,208,459.94 = 2,208,459.94/x
  3. Step 3: Cross multiply
    1,010,530.69x = 2,208,459.94 × 2,208,459.94
  4. Step 4: Simplify right side
    1,010,530.69x = 4,877,295,295,542.50
  5. Step 5: Solve for x
    x = 4,877,295,295,542.50/1,010,530.69
  6. Step 6: Final answer
    x = 4,826,469.26

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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.