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Finding the Third Proportional to 750,684 and 1,163,353

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Solution

The third proportional to 750,684 and 1,163,353 is: 1,802,876.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,684 : 1,163,353 = 1,163,353 : x
  2. Step 2: Convert to fraction form
    750,684/1,163,353 = 1,163,353/x
  3. Step 3: Cross multiply
    750,684x = 1,163,353 × 1,163,353
  4. Step 4: Simplify right side
    750,684x = 1,353,390,202,609
  5. Step 5: Solve for x
    x = 1,353,390,202,609/750,684
  6. Step 6: Final answer
    x = 1,802,876.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.