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Finding the Third Proportional to 492,395.63 and 1,071,064.13

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Solution

The third proportional to 492,395.63 and 1,071,064.13 is: 2,329,789.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,395.63 : 1,071,064.13 = 1,071,064.13 : x
  2. Step 2: Convert to fraction form
    492,395.63/1,071,064.13 = 1,071,064.13/x
  3. Step 3: Cross multiply
    492,395.63x = 1,071,064.13 × 1,071,064.13
  4. Step 4: Simplify right side
    492,395.63x = 1,147,178,359,862.02
  5. Step 5: Solve for x
    x = 1,147,178,359,862.02/492,395.63
  6. Step 6: Final answer
    x = 2,329,789.91

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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.