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Finding the Third Proportional to 650,634 and 1,001,316

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Solution

The third proportional to 650,634 and 1,001,316 is: 1,541,010.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,634 : 1,001,316 = 1,001,316 : x
  2. Step 2: Convert to fraction form
    650,634/1,001,316 = 1,001,316/x
  3. Step 3: Cross multiply
    650,634x = 1,001,316 × 1,001,316
  4. Step 4: Simplify right side
    650,634x = 1,002,633,731,856
  5. Step 5: Solve for x
    x = 1,002,633,731,856/650,634
  6. Step 6: Final answer
    x = 1,541,010.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.