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Finding the Third Proportional to 621,150,580 and 974,317,638

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Solution

The third proportional to 621,150,580 and 974,317,638 is: 1,528,284,590.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,150,580 : 974,317,638 = 974,317,638 : x
  2. Step 2: Convert to fraction form
    621,150,580/974,317,638 = 974,317,638/x
  3. Step 3: Cross multiply
    621,150,580x = 974,317,638 × 974,317,638
  4. Step 4: Simplify right side
    621,150,580x = 949,294,859,717,899,008
  5. Step 5: Solve for x
    x = 949,294,859,717,899,008/621,150,580
  6. Step 6: Final answer
    x = 1,528,284,590.38

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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.