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Finding the Third Proportional to 1,537,815 and 3,593,030.25

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Solution

The third proportional to 1,537,815 and 3,593,030.25 is: 8,394,941.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537,815 : 3,593,030.25 = 3,593,030.25 : x
  2. Step 2: Convert to fraction form
    1,537,815/3,593,030.25 = 3,593,030.25/x
  3. Step 3: Cross multiply
    1,537,815x = 3,593,030.25 × 3,593,030.25
  4. Step 4: Simplify right side
    1,537,815x = 12,909,866,377,415.06
  5. Step 5: Solve for x
    x = 12,909,866,377,415.06/1,537,815
  6. Step 6: Final answer
    x = 8,394,941.12

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.