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Finding the Third Proportional to 830,394 and 1,281,069

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Solution

The third proportional to 830,394 and 1,281,069 is: 1,976,336.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,394 : 1,281,069 = 1,281,069 : x
  2. Step 2: Convert to fraction form
    830,394/1,281,069 = 1,281,069/x
  3. Step 3: Cross multiply
    830,394x = 1,281,069 × 1,281,069
  4. Step 4: Simplify right side
    830,394x = 1,641,137,782,761
  5. Step 5: Solve for x
    x = 1,641,137,782,761/830,394
  6. Step 6: Final answer
    x = 1,976,336.27

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.