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Finding the Third Proportional to 447,618 and 872,391

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Solution

The third proportional to 447,618 and 872,391 is: 1,700,257.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,618 : 872,391 = 872,391 : x
  2. Step 2: Convert to fraction form
    447,618/872,391 = 872,391/x
  3. Step 3: Cross multiply
    447,618x = 872,391 × 872,391
  4. Step 4: Simplify right side
    447,618x = 761,066,056,881
  5. Step 5: Solve for x
    x = 761,066,056,881/447,618
  6. Step 6: Final answer
    x = 1,700,257.94

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.