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Finding the Third Proportional to 980,019 and 1,514,133

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Solution

The third proportional to 980,019 and 1,514,133 is: 2,339,341.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,019 : 1,514,133 = 1,514,133 : x
  2. Step 2: Convert to fraction form
    980,019/1,514,133 = 1,514,133/x
  3. Step 3: Cross multiply
    980,019x = 1,514,133 × 1,514,133
  4. Step 4: Simplify right side
    980,019x = 2,292,598,741,689
  5. Step 5: Solve for x
    x = 2,292,598,741,689/980,019
  6. Step 6: Final answer
    x = 2,339,341.12

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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.