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Finding the Third Proportional to 546,988 and 828,039

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Solution

The third proportional to 546,988 and 828,039 is: 1,253,498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,988 : 828,039 = 828,039 : x
  2. Step 2: Convert to fraction form
    546,988/828,039 = 828,039/x
  3. Step 3: Cross multiply
    546,988x = 828,039 × 828,039
  4. Step 4: Simplify right side
    546,988x = 685,648,585,521
  5. Step 5: Solve for x
    x = 685,648,585,521/546,988
  6. Step 6: Final answer
    x = 1,253,498.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.