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Finding the Third Proportional to 489,546 and 1,063,154

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Solution

The third proportional to 489,546 and 1,063,154 is: 2,308,866.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,546 : 1,063,154 = 1,063,154 : x
  2. Step 2: Convert to fraction form
    489,546/1,063,154 = 1,063,154/x
  3. Step 3: Cross multiply
    489,546x = 1,063,154 × 1,063,154
  4. Step 4: Simplify right side
    489,546x = 1,130,296,427,716
  5. Step 5: Solve for x
    x = 1,130,296,427,716/489,546
  6. Step 6: Final answer
    x = 2,308,866.64

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.