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Finding the Third Proportional to 983,538 and 1,484,343

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Solution

The third proportional to 983,538 and 1,484,343 is: 2,240,151.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,538 : 1,484,343 = 1,484,343 : x
  2. Step 2: Convert to fraction form
    983,538/1,484,343 = 1,484,343/x
  3. Step 3: Cross multiply
    983,538x = 1,484,343 × 1,484,343
  4. Step 4: Simplify right side
    983,538x = 2,203,274,141,649
  5. Step 5: Solve for x
    x = 2,203,274,141,649/983,538
  6. Step 6: Final answer
    x = 2,240,151.52

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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.