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Finding the Third Proportional to 830,343 and 1,355,859

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Solution

The third proportional to 830,343 and 1,355,859 is: 2,213,968.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,343 : 1,355,859 = 1,355,859 : x
  2. Step 2: Convert to fraction form
    830,343/1,355,859 = 1,355,859/x
  3. Step 3: Cross multiply
    830,343x = 1,355,859 × 1,355,859
  4. Step 4: Simplify right side
    830,343x = 1,838,353,627,881
  5. Step 5: Solve for x
    x = 1,838,353,627,881/830,343
  6. Step 6: Final answer
    x = 2,213,968.96

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.