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Finding the Third Proportional to 1,263,861 and 1,938,033

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Solution

The third proportional to 1,263,861 and 1,938,033 is: 2,971,823.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263,861 : 1,938,033 = 1,938,033 : x
  2. Step 2: Convert to fraction form
    1,263,861/1,938,033 = 1,938,033/x
  3. Step 3: Cross multiply
    1,263,861x = 1,938,033 × 1,938,033
  4. Step 4: Simplify right side
    1,263,861x = 3,755,971,909,089
  5. Step 5: Solve for x
    x = 3,755,971,909,089/1,263,861
  6. Step 6: Final answer
    x = 2,971,823.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.