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Finding the Third Proportional to 666,098 and 1,015,833

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Solution

The third proportional to 666,098 and 1,015,833 is: 1,549,196.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,098 : 1,015,833 = 1,015,833 : x
  2. Step 2: Convert to fraction form
    666,098/1,015,833 = 1,015,833/x
  3. Step 3: Cross multiply
    666,098x = 1,015,833 × 1,015,833
  4. Step 4: Simplify right side
    666,098x = 1,031,916,683,889
  5. Step 5: Solve for x
    x = 1,031,916,683,889/666,098
  6. Step 6: Final answer
    x = 1,549,196.49

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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.