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Finding the Third Proportional to 673,984 and 1,013,712

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Solution

The third proportional to 673,984 and 1,013,712 is: 1,524,683.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,984 : 1,013,712 = 1,013,712 : x
  2. Step 2: Convert to fraction form
    673,984/1,013,712 = 1,013,712/x
  3. Step 3: Cross multiply
    673,984x = 1,013,712 × 1,013,712
  4. Step 4: Simplify right side
    673,984x = 1,027,612,018,944
  5. Step 5: Solve for x
    x = 1,027,612,018,944/673,984
  6. Step 6: Final answer
    x = 1,524,683.11

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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.