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Finding the Third Proportional to 830,342 and 1,355,858

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Solution

The third proportional to 830,342 and 1,355,858 is: 2,213,968.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,342 : 1,355,858 = 1,355,858 : x
  2. Step 2: Convert to fraction form
    830,342/1,355,858 = 1,355,858/x
  3. Step 3: Cross multiply
    830,342x = 1,355,858 × 1,355,858
  4. Step 4: Simplify right side
    830,342x = 1,838,350,916,164
  5. Step 5: Solve for x
    x = 1,838,350,916,164/830,342
  6. Step 6: Final answer
    x = 2,213,968.36

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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.