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Finding the Third Proportional to 830,518.31 and 1,281,193.69

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Solution

The third proportional to 830,518.31 and 1,281,193.69 is: 1,976,425.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,518.31 : 1,281,193.69 = 1,281,193.69 : x
  2. Step 2: Convert to fraction form
    830,518.31/1,281,193.69 = 1,281,193.69/x
  3. Step 3: Cross multiply
    830,518.31x = 1,281,193.69 × 1,281,193.69
  4. Step 4: Simplify right side
    830,518.31x = 1,641,457,264,889.85
  5. Step 5: Solve for x
    x = 1,641,457,264,889.85/830,518.31
  6. Step 6: Final answer
    x = 1,976,425.13

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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.