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Finding the Third Proportional to 700,936 and 1,531,605.50

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Solution

The third proportional to 700,936 and 1,531,605.50 is: 3,346,689.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,936 : 1,531,605.50 = 1,531,605.50 : x
  2. Step 2: Convert to fraction form
    700,936/1,531,605.50 = 1,531,605.50/x
  3. Step 3: Cross multiply
    700,936x = 1,531,605.50 × 1,531,605.50
  4. Step 4: Simplify right side
    700,936x = 2,345,815,407,630.25
  5. Step 5: Solve for x
    x = 2,345,815,407,630.25/700,936
  6. Step 6: Final answer
    x = 3,346,689.87

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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.