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Finding the Third Proportional to 842,280 and 1,842,020

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Solution

The third proportional to 842,280 and 1,842,020 is: 4,028,396.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,280 : 1,842,020 = 1,842,020 : x
  2. Step 2: Convert to fraction form
    842,280/1,842,020 = 1,842,020/x
  3. Step 3: Cross multiply
    842,280x = 1,842,020 × 1,842,020
  4. Step 4: Simplify right side
    842,280x = 3,393,037,680,400
  5. Step 5: Solve for x
    x = 3,393,037,680,400/842,280
  6. Step 6: Final answer
    x = 4,028,396.35

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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.