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Finding the Third Proportional to 851,830 and 1,318,786

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Solution

The third proportional to 851,830 and 1,318,786 is: 2,041,717.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,830 : 1,318,786 = 1,318,786 : x
  2. Step 2: Convert to fraction form
    851,830/1,318,786 = 1,318,786/x
  3. Step 3: Cross multiply
    851,830x = 1,318,786 × 1,318,786
  4. Step 4: Simplify right side
    851,830x = 1,739,196,513,796
  5. Step 5: Solve for x
    x = 1,739,196,513,796/851,830
  6. Step 6: Final answer
    x = 2,041,717.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.