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Finding the Third Proportional to 624,537.84 and 1,343,800.13

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Solution

The third proportional to 624,537.84 and 1,343,800.13 is: 2,891,416.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,537.84 : 1,343,800.13 = 1,343,800.13 : x
  2. Step 2: Convert to fraction form
    624,537.84/1,343,800.13 = 1,343,800.13/x
  3. Step 3: Cross multiply
    624,537.84x = 1,343,800.13 × 1,343,800.13
  4. Step 4: Simplify right side
    624,537.84x = 1,805,798,775,950.02
  5. Step 5: Solve for x
    x = 1,805,798,775,950.02/624,537.84
  6. Step 6: Final answer
    x = 2,891,416.10

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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.