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Finding the Third Proportional to 757,989 and 1,114,813.50

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Solution

The third proportional to 757,989 and 1,114,813.50 is: 1,639,613.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,989 : 1,114,813.50 = 1,114,813.50 : x
  2. Step 2: Convert to fraction form
    757,989/1,114,813.50 = 1,114,813.50/x
  3. Step 3: Cross multiply
    757,989x = 1,114,813.50 × 1,114,813.50
  4. Step 4: Simplify right side
    757,989x = 1,242,809,139,782.25
  5. Step 5: Solve for x
    x = 1,242,809,139,782.25/757,989
  6. Step 6: Final answer
    x = 1,639,613.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.