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Finding the Third Proportional to 572,818 and 841,683

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Solution

The third proportional to 572,818 and 841,683 is: 1,236,745.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,818 : 841,683 = 841,683 : x
  2. Step 2: Convert to fraction form
    572,818/841,683 = 841,683/x
  3. Step 3: Cross multiply
    572,818x = 841,683 × 841,683
  4. Step 4: Simplify right side
    572,818x = 708,430,272,489
  5. Step 5: Solve for x
    x = 708,430,272,489/572,818
  6. Step 6: Final answer
    x = 1,236,745.83

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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.