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Finding the Third Proportional to 684,707 and 1,001,706

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Solution

The third proportional to 684,707 and 1,001,706 is: 1,465,466.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,707 : 1,001,706 = 1,001,706 : x
  2. Step 2: Convert to fraction form
    684,707/1,001,706 = 1,001,706/x
  3. Step 3: Cross multiply
    684,707x = 1,001,706 × 1,001,706
  4. Step 4: Simplify right side
    684,707x = 1,003,414,910,436
  5. Step 5: Solve for x
    x = 1,003,414,910,436/684,707
  6. Step 6: Final answer
    x = 1,465,466.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.