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Finding the Third Proportional to 777,664 and 1,609,316

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Solution

The third proportional to 777,664 and 1,609,316 is: 3,330,356.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,664 : 1,609,316 = 1,609,316 : x
  2. Step 2: Convert to fraction form
    777,664/1,609,316 = 1,609,316/x
  3. Step 3: Cross multiply
    777,664x = 1,609,316 × 1,609,316
  4. Step 4: Simplify right side
    777,664x = 2,589,897,987,856
  5. Step 5: Solve for x
    x = 2,589,897,987,856/777,664
  6. Step 6: Final answer
    x = 3,330,356.03

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.