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Finding the Third Proportional to 1,248,768 and 2,653,032

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Solution

The third proportional to 1,248,768 and 2,653,032 is: 5,636,418.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248,768 : 2,653,032 = 2,653,032 : x
  2. Step 2: Convert to fraction form
    1,248,768/2,653,032 = 2,653,032/x
  3. Step 3: Cross multiply
    1,248,768x = 2,653,032 × 2,653,032
  4. Step 4: Simplify right side
    1,248,768x = 7,038,578,793,024
  5. Step 5: Solve for x
    x = 7,038,578,793,024/1,248,768
  6. Step 6: Final answer
    x = 5,636,418.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.