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Finding the Third Proportional to 1,081,254 and 1,557,511

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Solution

The third proportional to 1,081,254 and 1,557,511 is: 2,243,543.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081,254 : 1,557,511 = 1,557,511 : x
  2. Step 2: Convert to fraction form
    1,081,254/1,557,511 = 1,557,511/x
  3. Step 3: Cross multiply
    1,081,254x = 1,557,511 × 1,557,511
  4. Step 4: Simplify right side
    1,081,254x = 2,425,840,515,121
  5. Step 5: Solve for x
    x = 2,425,840,515,121/1,081,254
  6. Step 6: Final answer
    x = 2,243,543.62

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.