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Finding the Third Proportional to 799,216 and 1,712,430

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Solution

The third proportional to 799,216 and 1,712,430 is: 3,669,116.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    799,216 : 1,712,430 = 1,712,430 : x
  2. Step 2: Convert to fraction form
    799,216/1,712,430 = 1,712,430/x
  3. Step 3: Cross multiply
    799,216x = 1,712,430 × 1,712,430
  4. Step 4: Simplify right side
    799,216x = 2,932,416,504,900
  5. Step 5: Solve for x
    x = 2,932,416,504,900/799,216
  6. Step 6: Final answer
    x = 3,669,116.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.