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Finding the Third Proportional to 762,428.64 and 1,603,486.76

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Solution

The third proportional to 762,428.64 and 1,603,486.76 is: 3,372,341.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,428.64 : 1,603,486.76 = 1,603,486.76 : x
  2. Step 2: Convert to fraction form
    762,428.64/1,603,486.76 = 1,603,486.76/x
  3. Step 3: Cross multiply
    762,428.64x = 1,603,486.76 × 1,603,486.76
  4. Step 4: Simplify right side
    762,428.64x = 2,571,169,782,480.04
  5. Step 5: Solve for x
    x = 2,571,169,782,480.04/762,428.64
  6. Step 6: Final answer
    x = 3,372,341.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.