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Finding the Third Proportional to 830,520 and 1,281,196

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Solution

The third proportional to 830,520 and 1,281,196 is: 1,976,428.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,520 : 1,281,196 = 1,281,196 : x
  2. Step 2: Convert to fraction form
    830,520/1,281,196 = 1,281,196/x
  3. Step 3: Cross multiply
    830,520x = 1,281,196 × 1,281,196
  4. Step 4: Simplify right side
    830,520x = 1,641,463,190,416
  5. Step 5: Solve for x
    x = 1,641,463,190,416/830,520
  6. Step 6: Final answer
    x = 1,976,428.25

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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.