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Finding the Third Proportional to 500,618 and 1,042,654

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Solution

The third proportional to 500,618 and 1,042,654 is: 2,171,570.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,618 : 1,042,654 = 1,042,654 : x
  2. Step 2: Convert to fraction form
    500,618/1,042,654 = 1,042,654/x
  3. Step 3: Cross multiply
    500,618x = 1,042,654 × 1,042,654
  4. Step 4: Simplify right side
    500,618x = 1,087,127,363,716
  5. Step 5: Solve for x
    x = 1,087,127,363,716/500,618
  6. Step 6: Final answer
    x = 2,171,570.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.