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Finding the Third Proportional to 926,634 and 2,030,415

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Solution

The third proportional to 926,634 and 2,030,415 is: 4,448,989.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    926,634 : 2,030,415 = 2,030,415 : x
  2. Step 2: Convert to fraction form
    926,634/2,030,415 = 2,030,415/x
  3. Step 3: Cross multiply
    926,634x = 2,030,415 × 2,030,415
  4. Step 4: Simplify right side
    926,634x = 4,122,585,072,225
  5. Step 5: Solve for x
    x = 4,122,585,072,225/926,634
  6. Step 6: Final answer
    x = 4,448,989.65

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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.