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Finding the Third Proportional to 931,927.78 and 2,041,720.17

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Solution

The third proportional to 931,927.78 and 2,041,720.17 is: 4,473,116.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,927.78 : 2,041,720.17 = 2,041,720.17 : x
  2. Step 2: Convert to fraction form
    931,927.78/2,041,720.17 = 2,041,720.17/x
  3. Step 3: Cross multiply
    931,927.78x = 2,041,720.17 × 2,041,720.17
  4. Step 4: Simplify right side
    931,927.78x = 4,168,621,260,241.28
  5. Step 5: Solve for x
    x = 4,168,621,260,241.28/931,927.78
  6. Step 6: Final answer
    x = 4,473,116.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.