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Finding the Third Proportional to 830,345 and 1,726,960

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Solution

The third proportional to 830,345 and 1,726,960 is: 3,591,749.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,345 : 1,726,960 = 1,726,960 : x
  2. Step 2: Convert to fraction form
    830,345/1,726,960 = 1,726,960/x
  3. Step 3: Cross multiply
    830,345x = 1,726,960 × 1,726,960
  4. Step 4: Simplify right side
    830,345x = 2,982,390,841,600
  5. Step 5: Solve for x
    x = 2,982,390,841,600/830,345
  6. Step 6: Final answer
    x = 3,591,749.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.