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Finding the Third Proportional to 688,864 and 1,074,112

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Solution

The third proportional to 688,864 and 1,074,112 is: 1,674,810.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,864 : 1,074,112 = 1,074,112 : x
  2. Step 2: Convert to fraction form
    688,864/1,074,112 = 1,074,112/x
  3. Step 3: Cross multiply
    688,864x = 1,074,112 × 1,074,112
  4. Step 4: Simplify right side
    688,864x = 1,153,716,588,544
  5. Step 5: Solve for x
    x = 1,153,716,588,544/688,864
  6. Step 6: Final answer
    x = 1,674,810.40

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.