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Finding the Third Proportional to 1,232,930 and 1,934,591

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Solution

The third proportional to 1,232,930 and 1,934,591 is: 3,035,567.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232,930 : 1,934,591 = 1,934,591 : x
  2. Step 2: Convert to fraction form
    1,232,930/1,934,591 = 1,934,591/x
  3. Step 3: Cross multiply
    1,232,930x = 1,934,591 × 1,934,591
  4. Step 4: Simplify right side
    1,232,930x = 3,742,642,337,281
  5. Step 5: Solve for x
    x = 3,742,642,337,281/1,232,930
  6. Step 6: Final answer
    x = 3,035,567.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.