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Finding the Third Proportional to 389,613 and 845,658

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Solution

The third proportional to 389,613 and 845,658 is: 1,835,507.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,613 : 845,658 = 845,658 : x
  2. Step 2: Convert to fraction form
    389,613/845,658 = 845,658/x
  3. Step 3: Cross multiply
    389,613x = 845,658 × 845,658
  4. Step 4: Simplify right side
    389,613x = 715,137,452,964
  5. Step 5: Solve for x
    x = 715,137,452,964/389,613
  6. Step 6: Final answer
    x = 1,835,507.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.