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Finding the Third Proportional to 977,564.25 and 2,044,509.75

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Solution

The third proportional to 977,564.25 and 2,044,509.75 is: 4,275,954.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,564.25 : 2,044,509.75 = 2,044,509.75 : x
  2. Step 2: Convert to fraction form
    977,564.25/2,044,509.75 = 2,044,509.75/x
  3. Step 3: Cross multiply
    977,564.25x = 2,044,509.75 × 2,044,509.75
  4. Step 4: Simplify right side
    977,564.25x = 4,180,020,117,845.06
  5. Step 5: Solve for x
    x = 4,180,020,117,845.06/977,564.25
  6. Step 6: Final answer
    x = 4,275,954.36

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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.