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Finding the Third Proportional to 509,402 and 1,107,262

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Solution

The third proportional to 509,402 and 1,107,262 is: 2,406,800.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,402 : 1,107,262 = 1,107,262 : x
  2. Step 2: Convert to fraction form
    509,402/1,107,262 = 1,107,262/x
  3. Step 3: Cross multiply
    509,402x = 1,107,262 × 1,107,262
  4. Step 4: Simplify right side
    509,402x = 1,226,029,136,644
  5. Step 5: Solve for x
    x = 1,226,029,136,644/509,402
  6. Step 6: Final answer
    x = 2,406,800.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.