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Finding the Third Proportional to 1,085,742 and 1,427,739

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Solution

The third proportional to 1,085,742 and 1,427,739 is: 1,877,461.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085,742 : 1,427,739 = 1,427,739 : x
  2. Step 2: Convert to fraction form
    1,085,742/1,427,739 = 1,427,739/x
  3. Step 3: Cross multiply
    1,085,742x = 1,427,739 × 1,427,739
  4. Step 4: Simplify right side
    1,085,742x = 2,038,438,652,121
  5. Step 5: Solve for x
    x = 2,038,438,652,121/1,085,742
  6. Step 6: Final answer
    x = 1,877,461.36

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.