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Finding the Third Proportional to 2,586,492 and 5,246,734.50

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Solution

The third proportional to 2,586,492 and 5,246,734.50 is: 10,643,072.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586,492 : 5,246,734.50 = 5,246,734.50 : x
  2. Step 2: Convert to fraction form
    2,586,492/5,246,734.50 = 5,246,734.50/x
  3. Step 3: Cross multiply
    2,586,492x = 5,246,734.50 × 5,246,734.50
  4. Step 4: Simplify right side
    2,586,492x = 27,528,222,913,490.25
  5. Step 5: Solve for x
    x = 27,528,222,913,490.25/2,586,492
  6. Step 6: Final answer
    x = 10,643,072.90

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.