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Finding the Third Proportional to 1,032,930 and 1,578,985.88

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Solution

The third proportional to 1,032,930 and 1,578,985.88 is: 2,413,712.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032,930 : 1,578,985.88 = 1,578,985.88 : x
  2. Step 2: Convert to fraction form
    1,032,930/1,578,985.88 = 1,578,985.88/x
  3. Step 3: Cross multiply
    1,032,930x = 1,578,985.88 × 1,578,985.88
  4. Step 4: Simplify right side
    1,032,930x = 2,493,196,393,449.52
  5. Step 5: Solve for x
    x = 2,493,196,393,449.52/1,032,930
  6. Step 6: Final answer
    x = 2,413,712.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.