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Finding the Third Proportional to 783,854.50 and 1,145,531

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Solution

The third proportional to 783,854.50 and 1,145,531 is: 1,674,087.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,854.50 : 1,145,531 = 1,145,531 : x
  2. Step 2: Convert to fraction form
    783,854.50/1,145,531 = 1,145,531/x
  3. Step 3: Cross multiply
    783,854.50x = 1,145,531 × 1,145,531
  4. Step 4: Simplify right side
    783,854.50x = 1,312,241,271,961
  5. Step 5: Solve for x
    x = 1,312,241,271,961/783,854.50
  6. Step 6: Final answer
    x = 1,674,087.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.