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Finding the Third Proportional to 978,516 and 2,024,154

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Solution

The third proportional to 978,516 and 2,024,154 is: 4,187,156.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,516 : 2,024,154 = 2,024,154 : x
  2. Step 2: Convert to fraction form
    978,516/2,024,154 = 2,024,154/x
  3. Step 3: Cross multiply
    978,516x = 2,024,154 × 2,024,154
  4. Step 4: Simplify right side
    978,516x = 4,097,199,415,716
  5. Step 5: Solve for x
    x = 4,097,199,415,716/978,516
  6. Step 6: Final answer
    x = 4,187,156.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.