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Finding the Third Proportional to 1,283,690 and 2,034,399

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Solution

The third proportional to 1,283,690 and 2,034,399 is: 3,224,126.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283,690 : 2,034,399 = 2,034,399 : x
  2. Step 2: Convert to fraction form
    1,283,690/2,034,399 = 2,034,399/x
  3. Step 3: Cross multiply
    1,283,690x = 2,034,399 × 2,034,399
  4. Step 4: Simplify right side
    1,283,690x = 4,138,779,291,201
  5. Step 5: Solve for x
    x = 4,138,779,291,201/1,283,690
  6. Step 6: Final answer
    x = 3,224,126.77

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.