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Finding the Third Proportional to 673,724 and 1,013,319

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Solution

The third proportional to 673,724 and 1,013,319 is: 1,524,089.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,724 : 1,013,319 = 1,013,319 : x
  2. Step 2: Convert to fraction form
    673,724/1,013,319 = 1,013,319/x
  3. Step 3: Cross multiply
    673,724x = 1,013,319 × 1,013,319
  4. Step 4: Simplify right side
    673,724x = 1,026,815,395,761
  5. Step 5: Solve for x
    x = 1,026,815,395,761/673,724
  6. Step 6: Final answer
    x = 1,524,089.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.