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Finding the Third Proportional to 788,968 and 1,281,814

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Solution

The third proportional to 788,968 and 1,281,814 is: 2,082,526.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,968 : 1,281,814 = 1,281,814 : x
  2. Step 2: Convert to fraction form
    788,968/1,281,814 = 1,281,814/x
  3. Step 3: Cross multiply
    788,968x = 1,281,814 × 1,281,814
  4. Step 4: Simplify right side
    788,968x = 1,643,047,130,596
  5. Step 5: Solve for x
    x = 1,643,047,130,596/788,968
  6. Step 6: Final answer
    x = 2,082,526.96

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.