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Finding the Third Proportional to 966,726 and 1,493,829

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Solution

The third proportional to 966,726 and 1,493,829 is: 2,308,332.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,726 : 1,493,829 = 1,493,829 : x
  2. Step 2: Convert to fraction form
    966,726/1,493,829 = 1,493,829/x
  3. Step 3: Cross multiply
    966,726x = 1,493,829 × 1,493,829
  4. Step 4: Simplify right side
    966,726x = 2,231,525,081,241
  5. Step 5: Solve for x
    x = 2,231,525,081,241/966,726
  6. Step 6: Final answer
    x = 2,308,332.54

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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.