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Finding the Third Proportional to 830,563 and 1,273,262

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Solution

The third proportional to 830,563 and 1,273,262 is: 1,951,924.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,563 : 1,273,262 = 1,273,262 : x
  2. Step 2: Convert to fraction form
    830,563/1,273,262 = 1,273,262/x
  3. Step 3: Cross multiply
    830,563x = 1,273,262 × 1,273,262
  4. Step 4: Simplify right side
    830,563x = 1,621,196,120,644
  5. Step 5: Solve for x
    x = 1,621,196,120,644/830,563
  6. Step 6: Final answer
    x = 1,951,924.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.