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Finding the Third Proportional to 683,232 and 1,085,674

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Solution

The third proportional to 683,232 and 1,085,674 is: 1,725,165.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,232 : 1,085,674 = 1,085,674 : x
  2. Step 2: Convert to fraction form
    683,232/1,085,674 = 1,085,674/x
  3. Step 3: Cross multiply
    683,232x = 1,085,674 × 1,085,674
  4. Step 4: Simplify right side
    683,232x = 1,178,688,034,276
  5. Step 5: Solve for x
    x = 1,178,688,034,276/683,232
  6. Step 6: Final answer
    x = 1,725,165.15

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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.