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Finding the Third Proportional to 826,446 and 1,263,403

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Solution

The third proportional to 826,446 and 1,263,403 is: 1,931,387.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,446 : 1,263,403 = 1,263,403 : x
  2. Step 2: Convert to fraction form
    826,446/1,263,403 = 1,263,403/x
  3. Step 3: Cross multiply
    826,446x = 1,263,403 × 1,263,403
  4. Step 4: Simplify right side
    826,446x = 1,596,187,140,409
  5. Step 5: Solve for x
    x = 1,596,187,140,409/826,446
  6. Step 6: Final answer
    x = 1,931,387.10

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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.