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Finding the Third Proportional to 866,008 and 1,295,492

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Solution

The third proportional to 866,008 and 1,295,492 is: 1,937,972.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,008 : 1,295,492 = 1,295,492 : x
  2. Step 2: Convert to fraction form
    866,008/1,295,492 = 1,295,492/x
  3. Step 3: Cross multiply
    866,008x = 1,295,492 × 1,295,492
  4. Step 4: Simplify right side
    866,008x = 1,678,299,522,064
  5. Step 5: Solve for x
    x = 1,678,299,522,064/866,008
  6. Step 6: Final answer
    x = 1,937,972.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.