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Finding the Third Proportional to 652,089 and 1,346,082

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Solution

The third proportional to 652,089 and 1,346,082 is: 2,778,664.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,089 : 1,346,082 = 1,346,082 : x
  2. Step 2: Convert to fraction form
    652,089/1,346,082 = 1,346,082/x
  3. Step 3: Cross multiply
    652,089x = 1,346,082 × 1,346,082
  4. Step 4: Simplify right side
    652,089x = 1,811,936,750,724
  5. Step 5: Solve for x
    x = 1,811,936,750,724/652,089
  6. Step 6: Final answer
    x = 2,778,664.80

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.