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Finding the Third Proportional to 931,584 and 1,995,967.50

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Solution

The third proportional to 931,584 and 1,995,967.50 is: 4,276,464.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,584 : 1,995,967.50 = 1,995,967.50 : x
  2. Step 2: Convert to fraction form
    931,584/1,995,967.50 = 1,995,967.50/x
  3. Step 3: Cross multiply
    931,584x = 1,995,967.50 × 1,995,967.50
  4. Step 4: Simplify right side
    931,584x = 3,983,886,261,056.25
  5. Step 5: Solve for x
    x = 3,983,886,261,056.25/931,584
  6. Step 6: Final answer
    x = 4,276,464.88

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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.