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Finding the Third Proportional to 980,830 and 2,078,341

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Solution

The third proportional to 980,830 and 2,078,341 is: 4,403,924.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,830 : 2,078,341 = 2,078,341 : x
  2. Step 2: Convert to fraction form
    980,830/2,078,341 = 2,078,341/x
  3. Step 3: Cross multiply
    980,830x = 2,078,341 × 2,078,341
  4. Step 4: Simplify right side
    980,830x = 4,319,501,312,281
  5. Step 5: Solve for x
    x = 4,319,501,312,281/980,830
  6. Step 6: Final answer
    x = 4,403,924.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.