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Finding the Third Proportional to 483,564 and 1,038,492

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Solution

The third proportional to 483,564 and 1,038,492 is: 2,230,243.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,564 : 1,038,492 = 1,038,492 : x
  2. Step 2: Convert to fraction form
    483,564/1,038,492 = 1,038,492/x
  3. Step 3: Cross multiply
    483,564x = 1,038,492 × 1,038,492
  4. Step 4: Simplify right side
    483,564x = 1,078,465,634,064
  5. Step 5: Solve for x
    x = 1,078,465,634,064/483,564
  6. Step 6: Final answer
    x = 2,230,243.84

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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.