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Finding the Third Proportional to 813,919.50 and 1,767,901.50

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Solution

The third proportional to 813,919.50 and 1,767,901.50 is: 3,840,030.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,919.50 : 1,767,901.50 = 1,767,901.50 : x
  2. Step 2: Convert to fraction form
    813,919.50/1,767,901.50 = 1,767,901.50/x
  3. Step 3: Cross multiply
    813,919.50x = 1,767,901.50 × 1,767,901.50
  4. Step 4: Simplify right side
    813,919.50x = 3,125,475,713,702.25
  5. Step 5: Solve for x
    x = 3,125,475,713,702.25/813,919.50
  6. Step 6: Final answer
    x = 3,840,030.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.