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Finding the Third Proportional to 530,346 and 1,153,972

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Solution

The third proportional to 530,346 and 1,153,972 is: 2,510,910.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,346 : 1,153,972 = 1,153,972 : x
  2. Step 2: Convert to fraction form
    530,346/1,153,972 = 1,153,972/x
  3. Step 3: Cross multiply
    530,346x = 1,153,972 × 1,153,972
  4. Step 4: Simplify right side
    530,346x = 1,331,651,376,784
  5. Step 5: Solve for x
    x = 1,331,651,376,784/530,346
  6. Step 6: Final answer
    x = 2,510,910.57

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Why These Related Problems?

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