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Finding the Third Proportional to 591,140 and 1,224,319

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Solution

The third proportional to 591,140 and 1,224,319 is: 2,535,705.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,140 : 1,224,319 = 1,224,319 : x
  2. Step 2: Convert to fraction form
    591,140/1,224,319 = 1,224,319/x
  3. Step 3: Cross multiply
    591,140x = 1,224,319 × 1,224,319
  4. Step 4: Simplify right side
    591,140x = 1,498,957,013,761
  5. Step 5: Solve for x
    x = 1,498,957,013,761/591,140
  6. Step 6: Final answer
    x = 2,535,705.61

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.