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Finding the Third Proportional to 863,394 and 1,307,133

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Solution

The third proportional to 863,394 and 1,307,133 is: 1,978,930.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,394 : 1,307,133 = 1,307,133 : x
  2. Step 2: Convert to fraction form
    863,394/1,307,133 = 1,307,133/x
  3. Step 3: Cross multiply
    863,394x = 1,307,133 × 1,307,133
  4. Step 4: Simplify right side
    863,394x = 1,708,596,679,689
  5. Step 5: Solve for x
    x = 1,708,596,679,689/863,394
  6. Step 6: Final answer
    x = 1,978,930.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.