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Finding the Third Proportional to 926,235 and 1,385,464.50

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Solution

The third proportional to 926,235 and 1,385,464.50 is: 2,072,381.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    926,235 : 1,385,464.50 = 1,385,464.50 : x
  2. Step 2: Convert to fraction form
    926,235/1,385,464.50 = 1,385,464.50/x
  3. Step 3: Cross multiply
    926,235x = 1,385,464.50 × 1,385,464.50
  4. Step 4: Simplify right side
    926,235x = 1,919,511,880,760.25
  5. Step 5: Solve for x
    x = 1,919,511,880,760.25/926,235
  6. Step 6: Final answer
    x = 2,072,381.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.