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Finding the Third Proportional to 2,557,704 and 5,602,704

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Solution

The third proportional to 2,557,704 and 5,602,704 is: 12,272,840.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557,704 : 5,602,704 = 5,602,704 : x
  2. Step 2: Convert to fraction form
    2,557,704/5,602,704 = 5,602,704/x
  3. Step 3: Cross multiply
    2,557,704x = 5,602,704 × 5,602,704
  4. Step 4: Simplify right side
    2,557,704x = 31,390,292,111,616
  5. Step 5: Solve for x
    x = 31,390,292,111,616/2,557,704
  6. Step 6: Final answer
    x = 12,272,840.06

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Why These Related Problems?

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