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Finding the Third Proportional to 1,587,770.25 and 3,747,566.25

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Solution

The third proportional to 1,587,770.25 and 3,747,566.25 is: 8,845,267.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587,770.25 : 3,747,566.25 = 3,747,566.25 : x
  2. Step 2: Convert to fraction form
    1,587,770.25/3,747,566.25 = 3,747,566.25/x
  3. Step 3: Cross multiply
    1,587,770.25x = 3,747,566.25 × 3,747,566.25
  4. Step 4: Simplify right side
    1,587,770.25x = 14,044,252,798,139.06
  5. Step 5: Solve for x
    x = 14,044,252,798,139.06/1,587,770.25
  6. Step 6: Final answer
    x = 8,845,267.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.