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Finding the Third Proportional to 633,262 and 1,292,354

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Solution

The third proportional to 633,262 and 1,292,354 is: 2,637,421.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,262 : 1,292,354 = 1,292,354 : x
  2. Step 2: Convert to fraction form
    633,262/1,292,354 = 1,292,354/x
  3. Step 3: Cross multiply
    633,262x = 1,292,354 × 1,292,354
  4. Step 4: Simplify right side
    633,262x = 1,670,178,861,316
  5. Step 5: Solve for x
    x = 1,670,178,861,316/633,262
  6. Step 6: Final answer
    x = 2,637,421.57

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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.