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Finding the Third Proportional to 1,376,686.13 and 2,952,571.50

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Solution

The third proportional to 1,376,686.13 and 2,952,571.50 is: 6,332,364.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376,686.13 : 2,952,571.50 = 2,952,571.50 : x
  2. Step 2: Convert to fraction form
    1,376,686.13/2,952,571.50 = 2,952,571.50/x
  3. Step 3: Cross multiply
    1,376,686.13x = 2,952,571.50 × 2,952,571.50
  4. Step 4: Simplify right side
    1,376,686.13x = 8,717,678,462,612.25
  5. Step 5: Solve for x
    x = 8,717,678,462,612.25/1,376,686.13
  6. Step 6: Final answer
    x = 6,332,364.59

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.