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Finding the Third Proportional to 1,406,866.50 and 2,863,458

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Solution

The third proportional to 1,406,866.50 and 2,863,458 is: 5,828,123.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406,866.50 : 2,863,458 = 2,863,458 : x
  2. Step 2: Convert to fraction form
    1,406,866.50/2,863,458 = 2,863,458/x
  3. Step 3: Cross multiply
    1,406,866.50x = 2,863,458 × 2,863,458
  4. Step 4: Simplify right side
    1,406,866.50x = 8,199,391,717,764
  5. Step 5: Solve for x
    x = 8,199,391,717,764/1,406,866.50
  6. Step 6: Final answer
    x = 5,828,123.51

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.