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Finding the Third Proportional to 688,827 and 1,483,206

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Solution

The third proportional to 688,827 and 1,483,206 is: 3,193,690.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,827 : 1,483,206 = 1,483,206 : x
  2. Step 2: Convert to fraction form
    688,827/1,483,206 = 1,483,206/x
  3. Step 3: Cross multiply
    688,827x = 1,483,206 × 1,483,206
  4. Step 4: Simplify right side
    688,827x = 2,199,900,038,436
  5. Step 5: Solve for x
    x = 2,199,900,038,436/688,827
  6. Step 6: Final answer
    x = 3,193,690.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.