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Finding the Third Proportional to 611,086 and 798,440

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Solution

The third proportional to 611,086 and 798,440 is: 1,043,235.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,086 : 798,440 = 798,440 : x
  2. Step 2: Convert to fraction form
    611,086/798,440 = 798,440/x
  3. Step 3: Cross multiply
    611,086x = 798,440 × 798,440
  4. Step 4: Simplify right side
    611,086x = 637,506,433,600
  5. Step 5: Solve for x
    x = 637,506,433,600/611,086
  6. Step 6: Final answer
    x = 1,043,235.21

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.