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Finding the Third Proportional to 529,350 and 1,153,864

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Solution

The third proportional to 529,350 and 1,153,864 is: 2,515,164.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,350 : 1,153,864 = 1,153,864 : x
  2. Step 2: Convert to fraction form
    529,350/1,153,864 = 1,153,864/x
  3. Step 3: Cross multiply
    529,350x = 1,153,864 × 1,153,864
  4. Step 4: Simplify right side
    529,350x = 1,331,402,130,496
  5. Step 5: Solve for x
    x = 1,331,402,130,496/529,350
  6. Step 6: Final answer
    x = 2,515,164.13

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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.