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Finding the Third Proportional to 825,266 and 1,113,475

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Solution

The third proportional to 825,266 and 1,113,475 is: 1,502,335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,266 : 1,113,475 = 1,113,475 : x
  2. Step 2: Convert to fraction form
    825,266/1,113,475 = 1,113,475/x
  3. Step 3: Cross multiply
    825,266x = 1,113,475 × 1,113,475
  4. Step 4: Simplify right side
    825,266x = 1,239,826,575,625
  5. Step 5: Solve for x
    x = 1,239,826,575,625/825,266
  6. Step 6: Final answer
    x = 1,502,335.70

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.