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Finding the Third Proportional to 977,511 and 2,044,350

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Solution

The third proportional to 977,511 and 2,044,350 is: 4,275,519.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,511 : 2,044,350 = 2,044,350 : x
  2. Step 2: Convert to fraction form
    977,511/2,044,350 = 2,044,350/x
  3. Step 3: Cross multiply
    977,511x = 2,044,350 × 2,044,350
  4. Step 4: Simplify right side
    977,511x = 4,179,366,922,500
  5. Step 5: Solve for x
    x = 4,179,366,922,500/977,511
  6. Step 6: Final answer
    x = 4,275,519.07

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.