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Finding the Third Proportional to 3,032,534 and 6,596,512

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Solution

The third proportional to 3,032,534 and 6,596,512 is: 14,349,046.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032,534 : 6,596,512 = 6,596,512 : x
  2. Step 2: Convert to fraction form
    3,032,534/6,596,512 = 6,596,512/x
  3. Step 3: Cross multiply
    3,032,534x = 6,596,512 × 6,596,512
  4. Step 4: Simplify right side
    3,032,534x = 43,513,970,566,144
  5. Step 5: Solve for x
    x = 43,513,970,566,144/3,032,534
  6. Step 6: Final answer
    x = 14,349,046.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.