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Finding the Third Proportional to 830,522 and 1,281,199

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Solution

The third proportional to 830,522 and 1,281,199 is: 1,976,432.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,522 : 1,281,199 = 1,281,199 : x
  2. Step 2: Convert to fraction form
    830,522/1,281,199 = 1,281,199/x
  3. Step 3: Cross multiply
    830,522x = 1,281,199 × 1,281,199
  4. Step 4: Simplify right side
    830,522x = 1,641,470,877,601
  5. Step 5: Solve for x
    x = 1,641,470,877,601/830,522
  6. Step 6: Final answer
    x = 1,976,432.75

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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.