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Finding the Third Proportional to 788,412 and 1,729,428

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Solution

The third proportional to 788,412 and 1,729,428 is: 3,793,601.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,412 : 1,729,428 = 1,729,428 : x
  2. Step 2: Convert to fraction form
    788,412/1,729,428 = 1,729,428/x
  3. Step 3: Cross multiply
    788,412x = 1,729,428 × 1,729,428
  4. Step 4: Simplify right side
    788,412x = 2,990,921,207,184
  5. Step 5: Solve for x
    x = 2,990,921,207,184/788,412
  6. Step 6: Final answer
    x = 3,793,601.83

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