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Finding the Third Proportional to 2,101,798.69 and 4,525,947

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Solution

The third proportional to 2,101,798.69 and 4,525,947 is: 9,746,031.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101,798.69 : 4,525,947 = 4,525,947 : x
  2. Step 2: Convert to fraction form
    2,101,798.69/4,525,947 = 4,525,947/x
  3. Step 3: Cross multiply
    2,101,798.69x = 4,525,947 × 4,525,947
  4. Step 4: Simplify right side
    2,101,798.69x = 20,484,196,246,809
  5. Step 5: Solve for x
    x = 20,484,196,246,809/2,101,798.69
  6. Step 6: Final answer
    x = 9,746,031.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.