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Finding the Third Proportional to 784,653 and 1,663,463.50

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Solution

The third proportional to 784,653 and 1,663,463.50 is: 3,526,540.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,653 : 1,663,463.50 = 1,663,463.50 : x
  2. Step 2: Convert to fraction form
    784,653/1,663,463.50 = 1,663,463.50/x
  3. Step 3: Cross multiply
    784,653x = 1,663,463.50 × 1,663,463.50
  4. Step 4: Simplify right side
    784,653x = 2,767,110,815,832.25
  5. Step 5: Solve for x
    x = 2,767,110,815,832.25/784,653
  6. Step 6: Final answer
    x = 3,526,540.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.