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Finding the Third Proportional to 702,663 and 1,562,538

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Solution

The third proportional to 702,663 and 1,562,538 is: 3,474,674.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,663 : 1,562,538 = 1,562,538 : x
  2. Step 2: Convert to fraction form
    702,663/1,562,538 = 1,562,538/x
  3. Step 3: Cross multiply
    702,663x = 1,562,538 × 1,562,538
  4. Step 4: Simplify right side
    702,663x = 2,441,525,001,444
  5. Step 5: Solve for x
    x = 2,441,525,001,444/702,663
  6. Step 6: Final answer
    x = 3,474,674.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.