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Finding the Third Proportional to 1,036,376 and 2,242,511

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Solution

The third proportional to 1,036,376 and 2,242,511 is: 4,852,346.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036,376 : 2,242,511 = 2,242,511 : x
  2. Step 2: Convert to fraction form
    1,036,376/2,242,511 = 2,242,511/x
  3. Step 3: Cross multiply
    1,036,376x = 2,242,511 × 2,242,511
  4. Step 4: Simplify right side
    1,036,376x = 5,028,855,585,121
  5. Step 5: Solve for x
    x = 5,028,855,585,121/1,036,376
  6. Step 6: Final answer
    x = 4,852,346.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.