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Finding the Third Proportional to 633,237 and 1,292,310

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Solution

The third proportional to 633,237 and 1,292,310 is: 2,637,346.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,237 : 1,292,310 = 1,292,310 : x
  2. Step 2: Convert to fraction form
    633,237/1,292,310 = 1,292,310/x
  3. Step 3: Cross multiply
    633,237x = 1,292,310 × 1,292,310
  4. Step 4: Simplify right side
    633,237x = 1,670,065,136,100
  5. Step 5: Solve for x
    x = 1,670,065,136,100/633,237
  6. Step 6: Final answer
    x = 2,637,346.11

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.