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Finding the Third Proportional to 977,988 and 2,062,176

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Solution

The third proportional to 977,988 and 2,062,176 is: 4,348,284.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,988 : 2,062,176 = 2,062,176 : x
  2. Step 2: Convert to fraction form
    977,988/2,062,176 = 2,062,176/x
  3. Step 3: Cross multiply
    977,988x = 2,062,176 × 2,062,176
  4. Step 4: Simplify right side
    977,988x = 4,252,569,854,976
  5. Step 5: Solve for x
    x = 4,252,569,854,976/977,988
  6. Step 6: Final answer
    x = 4,348,284.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.