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Finding the Third Proportional to 684,633 and 1,001,596.50

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Solution

The third proportional to 684,633 and 1,001,596.50 is: 1,465,304.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,633 : 1,001,596.50 = 1,001,596.50 : x
  2. Step 2: Convert to fraction form
    684,633/1,001,596.50 = 1,001,596.50/x
  3. Step 3: Cross multiply
    684,633x = 1,001,596.50 × 1,001,596.50
  4. Step 4: Simplify right side
    684,633x = 1,003,195,548,812.25
  5. Step 5: Solve for x
    x = 1,003,195,548,812.25/684,633
  6. Step 6: Final answer
    x = 1,465,304.11

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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.