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Finding the Third Proportional to 705,413 and 1,543,342

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Solution

The third proportional to 705,413 and 1,543,342 is: 3,376,609.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,413 : 1,543,342 = 1,543,342 : x
  2. Step 2: Convert to fraction form
    705,413/1,543,342 = 1,543,342/x
  3. Step 3: Cross multiply
    705,413x = 1,543,342 × 1,543,342
  4. Step 4: Simplify right side
    705,413x = 2,381,904,528,964
  5. Step 5: Solve for x
    x = 2,381,904,528,964/705,413
  6. Step 6: Final answer
    x = 3,376,609.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.