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Finding the Third Proportional to 465,623 and 1,016,539

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Solution

The third proportional to 465,623 and 1,016,539 is: 2,219,288.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,623 : 1,016,539 = 1,016,539 : x
  2. Step 2: Convert to fraction form
    465,623/1,016,539 = 1,016,539/x
  3. Step 3: Cross multiply
    465,623x = 1,016,539 × 1,016,539
  4. Step 4: Simplify right side
    465,623x = 1,033,351,538,521
  5. Step 5: Solve for x
    x = 1,033,351,538,521/465,623
  6. Step 6: Final answer
    x = 2,219,288.00

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Why These Related Problems?

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