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Finding the Third Proportional to 606,506 and 951,312

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Solution

The third proportional to 606,506 and 951,312 is: 1,492,144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,506 : 951,312 = 951,312 : x
  2. Step 2: Convert to fraction form
    606,506/951,312 = 951,312/x
  3. Step 3: Cross multiply
    606,506x = 951,312 × 951,312
  4. Step 4: Simplify right side
    606,506x = 904,994,521,344
  5. Step 5: Solve for x
    x = 904,994,521,344/606,506
  6. Step 6: Final answer
    x = 1,492,144.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.