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Finding the Third Proportional to 802,416 and 1,731,223.50

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Solution

The third proportional to 802,416 and 1,731,223.50 is: 3,735,138.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,416 : 1,731,223.50 = 1,731,223.50 : x
  2. Step 2: Convert to fraction form
    802,416/1,731,223.50 = 1,731,223.50/x
  3. Step 3: Cross multiply
    802,416x = 1,731,223.50 × 1,731,223.50
  4. Step 4: Simplify right side
    802,416x = 2,997,134,806,952.25
  5. Step 5: Solve for x
    x = 2,997,134,806,952.25/802,416
  6. Step 6: Final answer
    x = 3,735,138.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.