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Finding the Third Proportional to 698,112 and 1,073,664

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Solution

The third proportional to 698,112 and 1,073,664 is: 1,651,245.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,112 : 1,073,664 = 1,073,664 : x
  2. Step 2: Convert to fraction form
    698,112/1,073,664 = 1,073,664/x
  3. Step 3: Cross multiply
    698,112x = 1,073,664 × 1,073,664
  4. Step 4: Simplify right side
    698,112x = 1,152,754,384,896
  5. Step 5: Solve for x
    x = 1,152,754,384,896/698,112
  6. Step 6: Final answer
    x = 1,651,245.62

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.