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Finding the Third Proportional to 1,157,523 and 2,492,829

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Solution

The third proportional to 1,157,523 and 2,492,829 is: 5,368,529.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157,523 : 2,492,829 = 2,492,829 : x
  2. Step 2: Convert to fraction form
    1,157,523/2,492,829 = 2,492,829/x
  3. Step 3: Cross multiply
    1,157,523x = 2,492,829 × 2,492,829
  4. Step 4: Simplify right side
    1,157,523x = 6,214,196,423,241
  5. Step 5: Solve for x
    x = 6,214,196,423,241/1,157,523
  6. Step 6: Final answer
    x = 5,368,529.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.