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Finding the Third Proportional to 763,585 and 1,725,170.50

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Solution

The third proportional to 763,585 and 1,725,170.50 is: 3,897,684.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,585 : 1,725,170.50 = 1,725,170.50 : x
  2. Step 2: Convert to fraction form
    763,585/1,725,170.50 = 1,725,170.50/x
  3. Step 3: Cross multiply
    763,585x = 1,725,170.50 × 1,725,170.50
  4. Step 4: Simplify right side
    763,585x = 2,976,213,254,070.25
  5. Step 5: Solve for x
    x = 2,976,213,254,070.25/763,585
  6. Step 6: Final answer
    x = 3,897,684.28

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.