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Finding the Third Proportional to 1,736,058 and 2,762,529

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Solution

The third proportional to 1,736,058 and 2,762,529 is: 4,395,916.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736,058 : 2,762,529 = 2,762,529 : x
  2. Step 2: Convert to fraction form
    1,736,058/2,762,529 = 2,762,529/x
  3. Step 3: Cross multiply
    1,736,058x = 2,762,529 × 2,762,529
  4. Step 4: Simplify right side
    1,736,058x = 7,631,566,475,841
  5. Step 5: Solve for x
    x = 7,631,566,475,841/1,736,058
  6. Step 6: Final answer
    x = 4,395,916.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.