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Finding the Third Proportional to 1,197,038 and 1,679,685

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Solution

The third proportional to 1,197,038 and 1,679,685 is: 2,356,935.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,038 : 1,679,685 = 1,679,685 : x
  2. Step 2: Convert to fraction form
    1,197,038/1,679,685 = 1,679,685/x
  3. Step 3: Cross multiply
    1,197,038x = 1,679,685 × 1,679,685
  4. Step 4: Simplify right side
    1,197,038x = 2,821,341,699,225
  5. Step 5: Solve for x
    x = 2,821,341,699,225/1,197,038
  6. Step 6: Final answer
    x = 2,356,935.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.