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Finding the Third Proportional to 930,623 and 1,493,117

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Solution

The third proportional to 930,623 and 1,493,117 is: 2,395,597.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,623 : 1,493,117 = 1,493,117 : x
  2. Step 2: Convert to fraction form
    930,623/1,493,117 = 1,493,117/x
  3. Step 3: Cross multiply
    930,623x = 1,493,117 × 1,493,117
  4. Step 4: Simplify right side
    930,623x = 2,229,398,375,689
  5. Step 5: Solve for x
    x = 2,229,398,375,689/930,623
  6. Step 6: Final answer
    x = 2,395,597.76

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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.