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Finding the Third Proportional to 584,118 and 1,258,632

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Solution

The third proportional to 584,118 and 1,258,632 is: 2,712,045.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,118 : 1,258,632 = 1,258,632 : x
  2. Step 2: Convert to fraction form
    584,118/1,258,632 = 1,258,632/x
  3. Step 3: Cross multiply
    584,118x = 1,258,632 × 1,258,632
  4. Step 4: Simplify right side
    584,118x = 1,584,154,511,424
  5. Step 5: Solve for x
    x = 1,584,154,511,424/584,118
  6. Step 6: Final answer
    x = 2,712,045.36

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.