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Finding the Third Proportional to 1,736,414.06 and 1,944,008.06

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Solution

The third proportional to 1,736,414.06 and 1,944,008.06 is: 2,176,420.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736,414.06 : 1,944,008.06 = 1,944,008.06 : x
  2. Step 2: Convert to fraction form
    1,736,414.06/1,944,008.06 = 1,944,008.06/x
  3. Step 3: Cross multiply
    1,736,414.06x = 1,944,008.06 × 1,944,008.06
  4. Step 4: Simplify right side
    1,736,414.06x = 3,779,167,347,065.00
  5. Step 5: Solve for x
    x = 3,779,167,347,065.00/1,736,414.06
  6. Step 6: Final answer
    x = 2,176,420.61

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.