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Finding the Third Proportional to 589,616 and 1,386,032

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Solution

The third proportional to 589,616 and 1,386,032 is: 3,258,196.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,616 : 1,386,032 = 1,386,032 : x
  2. Step 2: Convert to fraction form
    589,616/1,386,032 = 1,386,032/x
  3. Step 3: Cross multiply
    589,616x = 1,386,032 × 1,386,032
  4. Step 4: Simplify right side
    589,616x = 1,921,084,705,024
  5. Step 5: Solve for x
    x = 1,921,084,705,024/589,616
  6. Step 6: Final answer
    x = 3,258,196.36

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.