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Finding the Third Proportional to 682,707 and 1,485,768

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Solution

The third proportional to 682,707 and 1,485,768 is: 3,233,461.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,707 : 1,485,768 = 1,485,768 : x
  2. Step 2: Convert to fraction form
    682,707/1,485,768 = 1,485,768/x
  3. Step 3: Cross multiply
    682,707x = 1,485,768 × 1,485,768
  4. Step 4: Simplify right side
    682,707x = 2,207,506,549,824
  5. Step 5: Solve for x
    x = 2,207,506,549,824/682,707
  6. Step 6: Final answer
    x = 3,233,461.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.