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Finding the Third Proportional to 709,688 and 1,128,642

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Solution

The third proportional to 709,688 and 1,128,642 is: 1,794,919.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,688 : 1,128,642 = 1,128,642 : x
  2. Step 2: Convert to fraction form
    709,688/1,128,642 = 1,128,642/x
  3. Step 3: Cross multiply
    709,688x = 1,128,642 × 1,128,642
  4. Step 4: Simplify right side
    709,688x = 1,273,832,764,164
  5. Step 5: Solve for x
    x = 1,273,832,764,164/709,688
  6. Step 6: Final answer
    x = 1,794,919.41

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.