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Finding the Third Proportional to 757,920.80 and 1,114,697.95

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Solution

The third proportional to 757,920.80 and 1,114,697.95 is: 1,639,421.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,920.80 : 1,114,697.95 = 1,114,697.95 : x
  2. Step 2: Convert to fraction form
    757,920.80/1,114,697.95 = 1,114,697.95/x
  3. Step 3: Cross multiply
    757,920.80x = 1,114,697.95 × 1,114,697.95
  4. Step 4: Simplify right side
    757,920.80x = 1,242,551,526,701.06
  5. Step 5: Solve for x
    x = 1,242,551,526,701.06/757,920.80
  6. Step 6: Final answer
    x = 1,639,421.34

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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.