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Finding the Third Proportional to 1,428,475.50 and 2,214,307.13

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Solution

The third proportional to 1,428,475.50 and 2,214,307.13 is: 3,432,439.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428,475.50 : 2,214,307.13 = 2,214,307.13 : x
  2. Step 2: Convert to fraction form
    1,428,475.50/2,214,307.13 = 2,214,307.13/x
  3. Step 3: Cross multiply
    1,428,475.50x = 2,214,307.13 × 2,214,307.13
  4. Step 4: Simplify right side
    1,428,475.50x = 4,903,156,043,825.77
  5. Step 5: Solve for x
    x = 4,903,156,043,825.77/1,428,475.50
  6. Step 6: Final answer
    x = 3,432,439.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.