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Finding the Third Proportional to 983,420 and 1,484,172

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Solution

The third proportional to 983,420 and 1,484,172 is: 2,239,904.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,420 : 1,484,172 = 1,484,172 : x
  2. Step 2: Convert to fraction form
    983,420/1,484,172 = 1,484,172/x
  3. Step 3: Cross multiply
    983,420x = 1,484,172 × 1,484,172
  4. Step 4: Simplify right side
    983,420x = 2,202,766,525,584
  5. Step 5: Solve for x
    x = 2,202,766,525,584/983,420
  6. Step 6: Final answer
    x = 2,239,904.14

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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.