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Finding the Third Proportional to 662,757 and 1,013,412

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Solution

The third proportional to 662,757 and 1,013,412 is: 1,549,593.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,757 : 1,013,412 = 1,013,412 : x
  2. Step 2: Convert to fraction form
    662,757/1,013,412 = 1,013,412/x
  3. Step 3: Cross multiply
    662,757x = 1,013,412 × 1,013,412
  4. Step 4: Simplify right side
    662,757x = 1,027,003,881,744
  5. Step 5: Solve for x
    x = 1,027,003,881,744/662,757
  6. Step 6: Final answer
    x = 1,549,593.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.