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Finding the Third Proportional to 784,286 and 1,712,488

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Solution

The third proportional to 784,286 and 1,712,488 is: 3,739,216.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,286 : 1,712,488 = 1,712,488 : x
  2. Step 2: Convert to fraction form
    784,286/1,712,488 = 1,712,488/x
  3. Step 3: Cross multiply
    784,286x = 1,712,488 × 1,712,488
  4. Step 4: Simplify right side
    784,286x = 2,932,615,150,144
  5. Step 5: Solve for x
    x = 2,932,615,150,144/784,286
  6. Step 6: Final answer
    x = 3,739,216.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.