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Finding the Third Proportional to 710,172 and 998,911

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Solution

The third proportional to 710,172 and 998,911 is: 1,405,044.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,172 : 998,911 = 998,911 : x
  2. Step 2: Convert to fraction form
    710,172/998,911 = 998,911/x
  3. Step 3: Cross multiply
    710,172x = 998,911 × 998,911
  4. Step 4: Simplify right side
    710,172x = 997,823,185,921
  5. Step 5: Solve for x
    x = 997,823,185,921/710,172
  6. Step 6: Final answer
    x = 1,405,044.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.