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Finding the Third Proportional to 830,666 and 1,262,419

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Solution

The third proportional to 830,666 and 1,262,419 is: 1,918,583.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,666 : 1,262,419 = 1,262,419 : x
  2. Step 2: Convert to fraction form
    830,666/1,262,419 = 1,262,419/x
  3. Step 3: Cross multiply
    830,666x = 1,262,419 × 1,262,419
  4. Step 4: Simplify right side
    830,666x = 1,593,701,731,561
  5. Step 5: Solve for x
    x = 1,593,701,731,561/830,666
  6. Step 6: Final answer
    x = 1,918,583.08

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.