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Finding the Third Proportional to 624,398 and 1,343,566

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Solution

The third proportional to 624,398 and 1,343,566 is: 2,891,056.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,398 : 1,343,566 = 1,343,566 : x
  2. Step 2: Convert to fraction form
    624,398/1,343,566 = 1,343,566/x
  3. Step 3: Cross multiply
    624,398x = 1,343,566 × 1,343,566
  4. Step 4: Simplify right side
    624,398x = 1,805,169,596,356
  5. Step 5: Solve for x
    x = 1,805,169,596,356/624,398
  6. Step 6: Final answer
    x = 2,891,056.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.