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Finding the Third Proportional to 498,648 and 1,026,702

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Solution

The third proportional to 498,648 and 1,026,702 is: 2,113,950.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,648 : 1,026,702 = 1,026,702 : x
  2. Step 2: Convert to fraction form
    498,648/1,026,702 = 1,026,702/x
  3. Step 3: Cross multiply
    498,648x = 1,026,702 × 1,026,702
  4. Step 4: Simplify right side
    498,648x = 1,054,116,996,804
  5. Step 5: Solve for x
    x = 1,054,116,996,804/498,648
  6. Step 6: Final answer
    x = 2,113,950.11

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.