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Finding the Third Proportional to 530,835 and 1,154,979

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Solution

The third proportional to 530,835 and 1,154,979 is: 2,512,977.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,835 : 1,154,979 = 1,154,979 : x
  2. Step 2: Convert to fraction form
    530,835/1,154,979 = 1,154,979/x
  3. Step 3: Cross multiply
    530,835x = 1,154,979 × 1,154,979
  4. Step 4: Simplify right side
    530,835x = 1,333,976,490,441
  5. Step 5: Solve for x
    x = 1,333,976,490,441/530,835
  6. Step 6: Final answer
    x = 2,512,977.65

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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.