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Finding the Third Proportional to 402,069,146 and 875,334,694

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Solution

The third proportional to 402,069,146 and 875,334,694 is: 1,905,669,296.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,069,146 : 875,334,694 = 875,334,694 : x
  2. Step 2: Convert to fraction form
    402,069,146/875,334,694 = 875,334,694/x
  3. Step 3: Cross multiply
    402,069,146x = 875,334,694 × 875,334,694
  4. Step 4: Simplify right side
    402,069,146x = 766,210,826,520,073,600
  5. Step 5: Solve for x
    x = 766,210,826,520,073,600/402,069,146
  6. Step 6: Final answer
    x = 1,905,669,296.30

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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.