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Finding the Third Proportional to 713,697 and 1,531,154

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Solution

The third proportional to 713,697 and 1,531,154 is: 3,284,913.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,697 : 1,531,154 = 1,531,154 : x
  2. Step 2: Convert to fraction form
    713,697/1,531,154 = 1,531,154/x
  3. Step 3: Cross multiply
    713,697x = 1,531,154 × 1,531,154
  4. Step 4: Simplify right side
    713,697x = 2,344,432,571,716
  5. Step 5: Solve for x
    x = 2,344,432,571,716/713,697
  6. Step 6: Final answer
    x = 3,284,913.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.