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Finding the Third Proportional to 709,018 and 1,071,968.50

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Solution

The third proportional to 709,018 and 1,071,968.50 is: 1,620,715.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,018 : 1,071,968.50 = 1,071,968.50 : x
  2. Step 2: Convert to fraction form
    709,018/1,071,968.50 = 1,071,968.50/x
  3. Step 3: Cross multiply
    709,018x = 1,071,968.50 × 1,071,968.50
  4. Step 4: Simplify right side
    709,018x = 1,149,116,464,992.25
  5. Step 5: Solve for x
    x = 1,149,116,464,992.25/709,018
  6. Step 6: Final answer
    x = 1,620,715.50

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.