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Finding the Third Proportional to 1,280,358 and 2,796,948

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Solution

The third proportional to 1,280,358 and 2,796,948 is: 6,109,945.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280,358 : 2,796,948 = 2,796,948 : x
  2. Step 2: Convert to fraction form
    1,280,358/2,796,948 = 2,796,948/x
  3. Step 3: Cross multiply
    1,280,358x = 2,796,948 × 2,796,948
  4. Step 4: Simplify right side
    1,280,358x = 7,822,918,114,704
  5. Step 5: Solve for x
    x = 7,822,918,114,704/1,280,358
  6. Step 6: Final answer
    x = 6,109,945.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.