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Finding the Third Proportional to 653,312.25 and 1,406,720.25

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Solution

The third proportional to 653,312.25 and 1,406,720.25 is: 3,028,967.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,312.25 : 1,406,720.25 = 1,406,720.25 : x
  2. Step 2: Convert to fraction form
    653,312.25/1,406,720.25 = 1,406,720.25/x
  3. Step 3: Cross multiply
    653,312.25x = 1,406,720.25 × 1,406,720.25
  4. Step 4: Simplify right side
    653,312.25x = 1,978,861,861,760.06
  5. Step 5: Solve for x
    x = 1,978,861,861,760.06/653,312.25
  6. Step 6: Final answer
    x = 3,028,967.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.