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Finding the Third Proportional to 632,054 and 1,382,352

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Solution

The third proportional to 632,054 and 1,382,352 is: 3,023,312.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,054 : 1,382,352 = 1,382,352 : x
  2. Step 2: Convert to fraction form
    632,054/1,382,352 = 1,382,352/x
  3. Step 3: Cross multiply
    632,054x = 1,382,352 × 1,382,352
  4. Step 4: Simplify right side
    632,054x = 1,910,897,051,904
  5. Step 5: Solve for x
    x = 1,910,897,051,904/632,054
  6. Step 6: Final answer
    x = 3,023,312.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.