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Finding the Third Proportional to 506,880 and 1,178,624

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Solution

The third proportional to 506,880 and 1,178,624 is: 2,740,598.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,880 : 1,178,624 = 1,178,624 : x
  2. Step 2: Convert to fraction form
    506,880/1,178,624 = 1,178,624/x
  3. Step 3: Cross multiply
    506,880x = 1,178,624 × 1,178,624
  4. Step 4: Simplify right side
    506,880x = 1,389,154,533,376
  5. Step 5: Solve for x
    x = 1,389,154,533,376/506,880
  6. Step 6: Final answer
    x = 2,740,598.43

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.