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Finding the Third Proportional to 402,069,144 and 875,334,690

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Solution

The third proportional to 402,069,144 and 875,334,690 is: 1,905,669,288.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,069,144 : 875,334,690 = 875,334,690 : x
  2. Step 2: Convert to fraction form
    402,069,144/875,334,690 = 875,334,690/x
  3. Step 3: Cross multiply
    402,069,144x = 875,334,690 × 875,334,690
  4. Step 4: Simplify right side
    402,069,144x = 766,210,819,517,396,096
  5. Step 5: Solve for x
    x = 766,210,819,517,396,096/402,069,144
  6. Step 6: Final answer
    x = 1,905,669,288.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.