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Finding the Third Proportional to 991,026 and 1,463,211

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Solution

The third proportional to 991,026 and 1,463,211 is: 2,160,373.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    991,026 : 1,463,211 = 1,463,211 : x
  2. Step 2: Convert to fraction form
    991,026/1,463,211 = 1,463,211/x
  3. Step 3: Cross multiply
    991,026x = 1,463,211 × 1,463,211
  4. Step 4: Simplify right side
    991,026x = 2,140,986,430,521
  5. Step 5: Solve for x
    x = 2,140,986,430,521/991,026
  6. Step 6: Final answer
    x = 2,160,373.62

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.