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Finding the Third Proportional to 534,632 and 1,113,495

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Solution

The third proportional to 534,632 and 1,113,495 is: 2,319,111.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,632 : 1,113,495 = 1,113,495 : x
  2. Step 2: Convert to fraction form
    534,632/1,113,495 = 1,113,495/x
  3. Step 3: Cross multiply
    534,632x = 1,113,495 × 1,113,495
  4. Step 4: Simplify right side
    534,632x = 1,239,871,115,025
  5. Step 5: Solve for x
    x = 1,239,871,115,025/534,632
  6. Step 6: Final answer
    x = 2,319,111.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.