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Finding the Third Proportional to 4,121,465 and 6,304,586

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Solution

The third proportional to 4,121,465 and 6,304,586 is: 9,644,096.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121,465 : 6,304,586 = 6,304,586 : x
  2. Step 2: Convert to fraction form
    4,121,465/6,304,586 = 6,304,586/x
  3. Step 3: Cross multiply
    4,121,465x = 6,304,586 × 6,304,586
  4. Step 4: Simplify right side
    4,121,465x = 39,747,804,631,396
  5. Step 5: Solve for x
    x = 39,747,804,631,396/4,121,465
  6. Step 6: Final answer
    x = 9,644,096.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.