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Finding the Third Proportional to 622,864.13 and 1,358,290.13

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Solution

The third proportional to 622,864.13 and 1,358,290.13 is: 2,962,045.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,864.13 : 1,358,290.13 = 1,358,290.13 : x
  2. Step 2: Convert to fraction form
    622,864.13/1,358,290.13 = 1,358,290.13/x
  3. Step 3: Cross multiply
    622,864.13x = 1,358,290.13 × 1,358,290.13
  4. Step 4: Simplify right side
    622,864.13x = 1,844,952,063,672.52
  5. Step 5: Solve for x
    x = 1,844,952,063,672.52/622,864.13
  6. Step 6: Final answer
    x = 2,962,045.80

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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.