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Finding the Third Proportional to 2,085,316 and 4,569,212

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Solution

The third proportional to 2,085,316 and 4,569,212 is: 10,011,767.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085,316 : 4,569,212 = 4,569,212 : x
  2. Step 2: Convert to fraction form
    2,085,316/4,569,212 = 4,569,212/x
  3. Step 3: Cross multiply
    2,085,316x = 4,569,212 × 4,569,212
  4. Step 4: Simplify right side
    2,085,316x = 20,877,698,300,944
  5. Step 5: Solve for x
    x = 20,877,698,300,944/2,085,316
  6. Step 6: Final answer
    x = 10,011,767.19

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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.