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Finding the Third Proportional to 572,811 and 841,677

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Solution

The third proportional to 572,811 and 841,677 is: 1,236,743.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,811 : 841,677 = 841,677 : x
  2. Step 2: Convert to fraction form
    572,811/841,677 = 841,677/x
  3. Step 3: Cross multiply
    572,811x = 841,677 × 841,677
  4. Step 4: Simplify right side
    572,811x = 708,420,172,329
  5. Step 5: Solve for x
    x = 708,420,172,329/572,811
  6. Step 6: Final answer
    x = 1,236,743.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.