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Finding the Third Proportional to 709,980 and 1,072,362

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Solution

The third proportional to 709,980 and 1,072,362 is: 1,619,707.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,980 : 1,072,362 = 1,072,362 : x
  2. Step 2: Convert to fraction form
    709,980/1,072,362 = 1,072,362/x
  3. Step 3: Cross multiply
    709,980x = 1,072,362 × 1,072,362
  4. Step 4: Simplify right side
    709,980x = 1,149,960,259,044
  5. Step 5: Solve for x
    x = 1,149,960,259,044/709,980
  6. Step 6: Final answer
    x = 1,619,707.96

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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.