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Finding the Third Proportional to 968,123.25 and 2,127,325.50

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Solution

The third proportional to 968,123.25 and 2,127,325.50 is: 4,674,522.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,123.25 : 2,127,325.50 = 2,127,325.50 : x
  2. Step 2: Convert to fraction form
    968,123.25/2,127,325.50 = 2,127,325.50/x
  3. Step 3: Cross multiply
    968,123.25x = 2,127,325.50 × 2,127,325.50
  4. Step 4: Simplify right side
    968,123.25x = 4,525,513,782,950.25
  5. Step 5: Solve for x
    x = 4,525,513,782,950.25/968,123.25
  6. Step 6: Final answer
    x = 4,674,522.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.