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Finding the Third Proportional to 1,385,820.75 and 2,963,158.50

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Solution

The third proportional to 1,385,820.75 and 2,963,158.50 is: 6,335,818.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385,820.75 : 2,963,158.50 = 2,963,158.50 : x
  2. Step 2: Convert to fraction form
    1,385,820.75/2,963,158.50 = 2,963,158.50/x
  3. Step 3: Cross multiply
    1,385,820.75x = 2,963,158.50 × 2,963,158.50
  4. Step 4: Simplify right side
    1,385,820.75x = 8,780,308,296,122.25
  5. Step 5: Solve for x
    x = 8,780,308,296,122.25/1,385,820.75
  6. Step 6: Final answer
    x = 6,335,818.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.