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Finding the Third Proportional to 675,205 and 1,045,153

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Solution

The third proportional to 675,205 and 1,045,153 is: 1,617,797.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,205 : 1,045,153 = 1,045,153 : x
  2. Step 2: Convert to fraction form
    675,205/1,045,153 = 1,045,153/x
  3. Step 3: Cross multiply
    675,205x = 1,045,153 × 1,045,153
  4. Step 4: Simplify right side
    675,205x = 1,092,344,793,409
  5. Step 5: Solve for x
    x = 1,092,344,793,409/675,205
  6. Step 6: Final answer
    x = 1,617,797.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.