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Finding the Third Proportional to 828,341 and 1,811,769

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Solution

The third proportional to 828,341 and 1,811,769 is: 3,962,748.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,341 : 1,811,769 = 1,811,769 : x
  2. Step 2: Convert to fraction form
    828,341/1,811,769 = 1,811,769/x
  3. Step 3: Cross multiply
    828,341x = 1,811,769 × 1,811,769
  4. Step 4: Simplify right side
    828,341x = 3,282,506,909,361
  5. Step 5: Solve for x
    x = 3,282,506,909,361/828,341
  6. Step 6: Final answer
    x = 3,962,748.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.