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Finding the Third Proportional to 977,760 and 2,044,869.75

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Solution

The third proportional to 977,760 and 2,044,869.75 is: 4,276,603.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,760 : 2,044,869.75 = 2,044,869.75 : x
  2. Step 2: Convert to fraction form
    977,760/2,044,869.75 = 2,044,869.75/x
  3. Step 3: Cross multiply
    977,760x = 2,044,869.75 × 2,044,869.75
  4. Step 4: Simplify right side
    977,760x = 4,181,492,294,465.06
  5. Step 5: Solve for x
    x = 4,181,492,294,465.06/977,760
  6. Step 6: Final answer
    x = 4,276,603.97

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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.