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Finding the Third Proportional to 402,795,024 and 621,985,984

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Solution

The third proportional to 402,795,024 and 621,985,984 is: 960,455,172.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,795,024 : 621,985,984 = 621,985,984 : x
  2. Step 2: Convert to fraction form
    402,795,024/621,985,984 = 621,985,984/x
  3. Step 3: Cross multiply
    402,795,024x = 621,985,984 × 621,985,984
  4. Step 4: Simplify right side
    402,795,024x = 386,866,564,292,448,256
  5. Step 5: Solve for x
    x = 386,866,564,292,448,256/402,795,024
  6. Step 6: Final answer
    x = 960,455,172.59

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.