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Finding the Third Proportional to 607,342.50 and 1,406,023.88

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Solution

The third proportional to 607,342.50 and 1,406,023.88 is: 3,255,005.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,342.50 : 1,406,023.88 = 1,406,023.88 : x
  2. Step 2: Convert to fraction form
    607,342.50/1,406,023.88 = 1,406,023.88/x
  3. Step 3: Cross multiply
    607,342.50x = 1,406,023.88 × 1,406,023.88
  4. Step 4: Simplify right side
    607,342.50x = 1,976,903,137,070.02
  5. Step 5: Solve for x
    x = 1,976,903,137,070.02/607,342.50
  6. Step 6: Final answer
    x = 3,255,005.43

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.