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Finding the Third Proportional to 626,142 and 1,333,254

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Solution

The third proportional to 626,142 and 1,333,254 is: 2,838,918.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,142 : 1,333,254 = 1,333,254 : x
  2. Step 2: Convert to fraction form
    626,142/1,333,254 = 1,333,254/x
  3. Step 3: Cross multiply
    626,142x = 1,333,254 × 1,333,254
  4. Step 4: Simplify right side
    626,142x = 1,777,566,228,516
  5. Step 5: Solve for x
    x = 1,777,566,228,516/626,142
  6. Step 6: Final answer
    x = 2,838,918.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.