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Finding the Third Proportional to 684,396 and 1,020,738

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Solution

The third proportional to 684,396 and 1,020,738 is: 1,522,373.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,396 : 1,020,738 = 1,020,738 : x
  2. Step 2: Convert to fraction form
    684,396/1,020,738 = 1,020,738/x
  3. Step 3: Cross multiply
    684,396x = 1,020,738 × 1,020,738
  4. Step 4: Simplify right side
    684,396x = 1,041,906,064,644
  5. Step 5: Solve for x
    x = 1,041,906,064,644/684,396
  6. Step 6: Final answer
    x = 1,522,373.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.