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Finding the Third Proportional to 732,680 and 1,599,712

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Solution

The third proportional to 732,680 and 1,599,712 is: 3,492,764.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,680 : 1,599,712 = 1,599,712 : x
  2. Step 2: Convert to fraction form
    732,680/1,599,712 = 1,599,712/x
  3. Step 3: Cross multiply
    732,680x = 1,599,712 × 1,599,712
  4. Step 4: Simplify right side
    732,680x = 2,559,078,482,944
  5. Step 5: Solve for x
    x = 2,559,078,482,944/732,680
  6. Step 6: Final answer
    x = 3,492,764.21

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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.