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Finding the Third Proportional to 530,838 and 1,154,983

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Solution

The third proportional to 530,838 and 1,154,983 is: 2,512,980.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,838 : 1,154,983 = 1,154,983 : x
  2. Step 2: Convert to fraction form
    530,838/1,154,983 = 1,154,983/x
  3. Step 3: Cross multiply
    530,838x = 1,154,983 × 1,154,983
  4. Step 4: Simplify right side
    530,838x = 1,333,985,730,289
  5. Step 5: Solve for x
    x = 1,333,985,730,289/530,838
  6. Step 6: Final answer
    x = 2,512,980.85

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.