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Finding the Third Proportional to 565,750,530 and 845,141,742

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Solution

The third proportional to 565,750,530 and 845,141,742 is: 1,262,507,989.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,750,530 : 845,141,742 = 845,141,742 : x
  2. Step 2: Convert to fraction form
    565,750,530/845,141,742 = 845,141,742/x
  3. Step 3: Cross multiply
    565,750,530x = 845,141,742 × 845,141,742
  4. Step 4: Simplify right side
    565,750,530x = 714,264,564,070,794,624
  5. Step 5: Solve for x
    x = 714,264,564,070,794,624/565,750,530
  6. Step 6: Final answer
    x = 1,262,507,989.29

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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.