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Finding the Third Proportional to 983,424 and 1,518,810

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Solution

The third proportional to 983,424 and 1,518,810 is: 2,345,665.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,424 : 1,518,810 = 1,518,810 : x
  2. Step 2: Convert to fraction form
    983,424/1,518,810 = 1,518,810/x
  3. Step 3: Cross multiply
    983,424x = 1,518,810 × 1,518,810
  4. Step 4: Simplify right side
    983,424x = 2,306,783,816,100
  5. Step 5: Solve for x
    x = 2,306,783,816,100/983,424
  6. Step 6: Final answer
    x = 2,345,665.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.