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Finding the Third Proportional to 830,344 and 1,355,861

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Solution

The third proportional to 830,344 and 1,355,861 is: 2,213,972.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,344 : 1,355,861 = 1,355,861 : x
  2. Step 2: Convert to fraction form
    830,344/1,355,861 = 1,355,861/x
  3. Step 3: Cross multiply
    830,344x = 1,355,861 × 1,355,861
  4. Step 4: Simplify right side
    830,344x = 1,838,359,051,321
  5. Step 5: Solve for x
    x = 1,838,359,051,321/830,344
  6. Step 6: Final answer
    x = 2,213,972.82

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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.