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Finding the Third Proportional to 1,640,547 and 2,568,343

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Solution

The third proportional to 1,640,547 and 2,568,343 is: 4,020,845.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640,547 : 2,568,343 = 2,568,343 : x
  2. Step 2: Convert to fraction form
    1,640,547/2,568,343 = 2,568,343/x
  3. Step 3: Cross multiply
    1,640,547x = 2,568,343 × 2,568,343
  4. Step 4: Simplify right side
    1,640,547x = 6,596,385,765,649
  5. Step 5: Solve for x
    x = 6,596,385,765,649/1,640,547
  6. Step 6: Final answer
    x = 4,020,845.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.