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Finding the Third Proportional to 1,864,415 and 2,821,829.50

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Solution

The third proportional to 1,864,415 and 2,821,829.50 is: 4,270,895.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864,415 : 2,821,829.50 = 2,821,829.50 : x
  2. Step 2: Convert to fraction form
    1,864,415/2,821,829.50 = 2,821,829.50/x
  3. Step 3: Cross multiply
    1,864,415x = 2,821,829.50 × 2,821,829.50
  4. Step 4: Simplify right side
    1,864,415x = 7,962,721,727,070.25
  5. Step 5: Solve for x
    x = 7,962,721,727,070.25/1,864,415
  6. Step 6: Final answer
    x = 4,270,895.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.