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Finding the Third Proportional to 788,342 and 1,729,291

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Solution

The third proportional to 788,342 and 1,729,291 is: 3,793,337.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,342 : 1,729,291 = 1,729,291 : x
  2. Step 2: Convert to fraction form
    788,342/1,729,291 = 1,729,291/x
  3. Step 3: Cross multiply
    788,342x = 1,729,291 × 1,729,291
  4. Step 4: Simplify right side
    788,342x = 2,990,447,362,681
  5. Step 5: Solve for x
    x = 2,990,447,362,681/788,342
  6. Step 6: Final answer
    x = 3,793,337.62

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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.