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Finding the Third Proportional to 1,307,101.50 and 2,160,085.50

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Solution

The third proportional to 1,307,101.50 and 2,160,085.50 is: 3,569,706.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307,101.50 : 2,160,085.50 = 2,160,085.50 : x
  2. Step 2: Convert to fraction form
    1,307,101.50/2,160,085.50 = 2,160,085.50/x
  3. Step 3: Cross multiply
    1,307,101.50x = 2,160,085.50 × 2,160,085.50
  4. Step 4: Simplify right side
    1,307,101.50x = 4,665,969,367,310.25
  5. Step 5: Solve for x
    x = 4,665,969,367,310.25/1,307,101.50
  6. Step 6: Final answer
    x = 3,569,706.99

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.