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Finding the Third Proportional to 775,235,394 and 1,191,590,271

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Solution

The third proportional to 775,235,394 and 1,191,590,271 is: 1,831,556,434.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,235,394 : 1,191,590,271 = 1,191,590,271 : x
  2. Step 2: Convert to fraction form
    775,235,394/1,191,590,271 = 1,191,590,271/x
  3. Step 3: Cross multiply
    775,235,394x = 1,191,590,271 × 1,191,590,271
  4. Step 4: Simplify right side
    775,235,394x = 1,419,887,373,941,853,440
  5. Step 5: Solve for x
    x = 1,419,887,373,941,853,440/775,235,394
  6. Step 6: Final answer
    x = 1,831,556,434.25

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Why These Related Problems?

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