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Finding the Third Proportional to 3,174,304 and 4,537,448

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Solution

The third proportional to 3,174,304 and 4,537,448 is: 6,485,968.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174,304 : 4,537,448 = 4,537,448 : x
  2. Step 2: Convert to fraction form
    3,174,304/4,537,448 = 4,537,448/x
  3. Step 3: Cross multiply
    3,174,304x = 4,537,448 × 4,537,448
  4. Step 4: Simplify right side
    3,174,304x = 20,588,434,352,704
  5. Step 5: Solve for x
    x = 20,588,434,352,704/3,174,304
  6. Step 6: Final answer
    x = 6,485,968.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.