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Finding the Third Proportional to 590,024 and 938,124

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Solution

The third proportional to 590,024 and 938,124 is: 1,491,594.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,024 : 938,124 = 938,124 : x
  2. Step 2: Convert to fraction form
    590,024/938,124 = 938,124/x
  3. Step 3: Cross multiply
    590,024x = 938,124 × 938,124
  4. Step 4: Simplify right side
    590,024x = 880,076,639,376
  5. Step 5: Solve for x
    x = 880,076,639,376/590,024
  6. Step 6: Final answer
    x = 1,491,594.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.