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Finding the Third Proportional to 687,618 and 1,051,190

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Solution

The third proportional to 687,618 and 1,051,190 is: 1,606,997.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,618 : 1,051,190 = 1,051,190 : x
  2. Step 2: Convert to fraction form
    687,618/1,051,190 = 1,051,190/x
  3. Step 3: Cross multiply
    687,618x = 1,051,190 × 1,051,190
  4. Step 4: Simplify right side
    687,618x = 1,105,000,416,100
  5. Step 5: Solve for x
    x = 1,105,000,416,100/687,618
  6. Step 6: Final answer
    x = 1,606,997.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.