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Finding the Third Proportional to 664,603.50 and 1,457,865

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Solution

The third proportional to 664,603.50 and 1,457,865 is: 3,197,952.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,603.50 : 1,457,865 = 1,457,865 : x
  2. Step 2: Convert to fraction form
    664,603.50/1,457,865 = 1,457,865/x
  3. Step 3: Cross multiply
    664,603.50x = 1,457,865 × 1,457,865
  4. Step 4: Simplify right side
    664,603.50x = 2,125,370,358,225
  5. Step 5: Solve for x
    x = 2,125,370,358,225/664,603.50
  6. Step 6: Final answer
    x = 3,197,952.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.