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Finding the Third Proportional to 502,273 and 1,185,440

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Solution

The third proportional to 502,273 and 1,185,440 is: 2,797,817.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,273 : 1,185,440 = 1,185,440 : x
  2. Step 2: Convert to fraction form
    502,273/1,185,440 = 1,185,440/x
  3. Step 3: Cross multiply
    502,273x = 1,185,440 × 1,185,440
  4. Step 4: Simplify right side
    502,273x = 1,405,267,993,600
  5. Step 5: Solve for x
    x = 1,405,267,993,600/502,273
  6. Step 6: Final answer
    x = 2,797,817.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.