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Finding the Third Proportional to 730,964 and 1,166,430

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Solution

The third proportional to 730,964 and 1,166,430 is: 1,861,321.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,964 : 1,166,430 = 1,166,430 : x
  2. Step 2: Convert to fraction form
    730,964/1,166,430 = 1,166,430/x
  3. Step 3: Cross multiply
    730,964x = 1,166,430 × 1,166,430
  4. Step 4: Simplify right side
    730,964x = 1,360,558,944,900
  5. Step 5: Solve for x
    x = 1,360,558,944,900/730,964
  6. Step 6: Final answer
    x = 1,861,321.41

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.