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Finding the Third Proportional to 702,548 and 1,515,688

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Solution

The third proportional to 702,548 and 1,515,688 is: 3,269,968.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,548 : 1,515,688 = 1,515,688 : x
  2. Step 2: Convert to fraction form
    702,548/1,515,688 = 1,515,688/x
  3. Step 3: Cross multiply
    702,548x = 1,515,688 × 1,515,688
  4. Step 4: Simplify right side
    702,548x = 2,297,310,113,344
  5. Step 5: Solve for x
    x = 2,297,310,113,344/702,548
  6. Step 6: Final answer
    x = 3,269,968.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.