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Finding the Third Proportional to 702,657 and 1,562,526

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Solution

The third proportional to 702,657 and 1,562,526 is: 3,474,650.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,657 : 1,562,526 = 1,562,526 : x
  2. Step 2: Convert to fraction form
    702,657/1,562,526 = 1,562,526/x
  3. Step 3: Cross multiply
    702,657x = 1,562,526 × 1,562,526
  4. Step 4: Simplify right side
    702,657x = 2,441,487,500,676
  5. Step 5: Solve for x
    x = 2,441,487,500,676/702,657
  6. Step 6: Final answer
    x = 3,474,650.51

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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.