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Finding the Third Proportional to 498,650 and 1,026,706

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Solution

The third proportional to 498,650 and 1,026,706 is: 2,113,958.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,650 : 1,026,706 = 1,026,706 : x
  2. Step 2: Convert to fraction form
    498,650/1,026,706 = 1,026,706/x
  3. Step 3: Cross multiply
    498,650x = 1,026,706 × 1,026,706
  4. Step 4: Simplify right side
    498,650x = 1,054,125,210,436
  5. Step 5: Solve for x
    x = 1,054,125,210,436/498,650
  6. Step 6: Final answer
    x = 2,113,958.11

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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.