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Finding the Third Proportional to 410,618 and 877,983

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Solution

The third proportional to 410,618 and 877,983 is: 1,877,302.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,618 : 877,983 = 877,983 : x
  2. Step 2: Convert to fraction form
    410,618/877,983 = 877,983/x
  3. Step 3: Cross multiply
    410,618x = 877,983 × 877,983
  4. Step 4: Simplify right side
    410,618x = 770,854,148,289
  5. Step 5: Solve for x
    x = 770,854,148,289/410,618
  6. Step 6: Final answer
    x = 1,877,302.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.