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Finding the Third Proportional to 786,291 and 1,675,612.50

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Solution

The third proportional to 786,291 and 1,675,612.50 is: 3,570,786.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,291 : 1,675,612.50 = 1,675,612.50 : x
  2. Step 2: Convert to fraction form
    786,291/1,675,612.50 = 1,675,612.50/x
  3. Step 3: Cross multiply
    786,291x = 1,675,612.50 × 1,675,612.50
  4. Step 4: Simplify right side
    786,291x = 2,807,677,250,156.25
  5. Step 5: Solve for x
    x = 2,807,677,250,156.25/786,291
  6. Step 6: Final answer
    x = 3,570,786.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.