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Finding the Third Proportional to 689,328 and 1,506,672

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Solution

The third proportional to 689,328 and 1,506,672 is: 3,293,150.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,328 : 1,506,672 = 1,506,672 : x
  2. Step 2: Convert to fraction form
    689,328/1,506,672 = 1,506,672/x
  3. Step 3: Cross multiply
    689,328x = 1,506,672 × 1,506,672
  4. Step 4: Simplify right side
    689,328x = 2,270,060,515,584
  5. Step 5: Solve for x
    x = 2,270,060,515,584/689,328
  6. Step 6: Final answer
    x = 3,293,150.02

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.