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Finding the Third Proportional to 4,660,261 and 6,296,301

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Solution

The third proportional to 4,660,261 and 6,296,301 is: 8,506,692.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660,261 : 6,296,301 = 6,296,301 : x
  2. Step 2: Convert to fraction form
    4,660,261/6,296,301 = 6,296,301/x
  3. Step 3: Cross multiply
    4,660,261x = 6,296,301 × 6,296,301
  4. Step 4: Simplify right side
    4,660,261x = 39,643,406,282,601
  5. Step 5: Solve for x
    x = 39,643,406,282,601/4,660,261
  6. Step 6: Final answer
    x = 8,506,692.28

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.