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Finding the Third Proportional to 744,025,854 and 1,225,117,041

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Solution

The third proportional to 744,025,854 and 1,225,117,041 is: 2,017,284,421.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,025,854 : 1,225,117,041 = 1,225,117,041 : x
  2. Step 2: Convert to fraction form
    744,025,854/1,225,117,041 = 1,225,117,041/x
  3. Step 3: Cross multiply
    744,025,854x = 1,225,117,041 × 1,225,117,041
  4. Step 4: Simplify right side
    744,025,854x = 1,500,911,764,148,595,712
  5. Step 5: Solve for x
    x = 1,500,911,764,148,595,712/744,025,854
  6. Step 6: Final answer
    x = 2,017,284,421.07

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.