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Finding the Third Proportional to 806,934 and 1,130,899.50

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Solution

The third proportional to 806,934 and 1,130,899.50 is: 1,584,929.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,934 : 1,130,899.50 = 1,130,899.50 : x
  2. Step 2: Convert to fraction form
    806,934/1,130,899.50 = 1,130,899.50/x
  3. Step 3: Cross multiply
    806,934x = 1,130,899.50 × 1,130,899.50
  4. Step 4: Simplify right side
    806,934x = 1,278,933,679,100.25
  5. Step 5: Solve for x
    x = 1,278,933,679,100.25/806,934
  6. Step 6: Final answer
    x = 1,584,929.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.