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Finding the Third Proportional to 732,678 and 1,599,708

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Solution

The third proportional to 732,678 and 1,599,708 is: 3,492,756.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,678 : 1,599,708 = 1,599,708 : x
  2. Step 2: Convert to fraction form
    732,678/1,599,708 = 1,599,708/x
  3. Step 3: Cross multiply
    732,678x = 1,599,708 × 1,599,708
  4. Step 4: Simplify right side
    732,678x = 2,559,065,685,264
  5. Step 5: Solve for x
    x = 2,559,065,685,264/732,678
  6. Step 6: Final answer
    x = 3,492,756.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.