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Finding the Third Proportional to 1,411,402.50 and 3,056,085

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Solution

The third proportional to 1,411,402.50 and 3,056,085 is: 6,617,287.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,402.50 : 3,056,085 = 3,056,085 : x
  2. Step 2: Convert to fraction form
    1,411,402.50/3,056,085 = 3,056,085/x
  3. Step 3: Cross multiply
    1,411,402.50x = 3,056,085 × 3,056,085
  4. Step 4: Simplify right side
    1,411,402.50x = 9,339,655,527,225
  5. Step 5: Solve for x
    x = 9,339,655,527,225/1,411,402.50
  6. Step 6: Final answer
    x = 6,617,287.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.