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Finding the Third Proportional to 1,025,763 and 2,232,130.50

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Solution

The third proportional to 1,025,763 and 2,232,130.50 is: 4,857,268.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,763 : 2,232,130.50 = 2,232,130.50 : x
  2. Step 2: Convert to fraction form
    1,025,763/2,232,130.50 = 2,232,130.50/x
  3. Step 3: Cross multiply
    1,025,763x = 2,232,130.50 × 2,232,130.50
  4. Step 4: Simplify right side
    1,025,763x = 4,982,406,569,030.25
  5. Step 5: Solve for x
    x = 4,982,406,569,030.25/1,025,763
  6. Step 6: Final answer
    x = 4,857,268.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.