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Finding the Third Proportional to 877,263.50 and 1,919,624

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Solution

The third proportional to 877,263.50 and 1,919,624 is: 4,200,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,263.50 : 1,919,624 = 1,919,624 : x
  2. Step 2: Convert to fraction form
    877,263.50/1,919,624 = 1,919,624/x
  3. Step 3: Cross multiply
    877,263.50x = 1,919,624 × 1,919,624
  4. Step 4: Simplify right side
    877,263.50x = 3,684,956,301,376
  5. Step 5: Solve for x
    x = 3,684,956,301,376/877,263.50
  6. Step 6: Final answer
    x = 4,200,512.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.