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Finding the Third Proportional to 1,703,415 and 2,618,271

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Solution

The third proportional to 1,703,415 and 2,618,271 is: 4,024,470.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703,415 : 2,618,271 = 2,618,271 : x
  2. Step 2: Convert to fraction form
    1,703,415/2,618,271 = 2,618,271/x
  3. Step 3: Cross multiply
    1,703,415x = 2,618,271 × 2,618,271
  4. Step 4: Simplify right side
    1,703,415x = 6,855,343,029,441
  5. Step 5: Solve for x
    x = 6,855,343,029,441/1,703,415
  6. Step 6: Final answer
    x = 4,024,470.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.