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Finding the Third Proportional to 805,000,704 and 1,202,688,468

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Solution

The third proportional to 805,000,704 and 1,202,688,468 is: 1,796,842,591.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,000,704 : 1,202,688,468 = 1,202,688,468 : x
  2. Step 2: Convert to fraction form
    805,000,704/1,202,688,468 = 1,202,688,468/x
  3. Step 3: Cross multiply
    805,000,704x = 1,202,688,468 × 1,202,688,468
  4. Step 4: Simplify right side
    805,000,704x = 1,446,459,551,060,187,136
  5. Step 5: Solve for x
    x = 1,446,459,551,060,187,136/805,000,704
  6. Step 6: Final answer
    x = 1,796,842,591.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.