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Finding the Third Proportional to 684,061 and 1,499,465

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Solution

The third proportional to 684,061 and 1,499,465 is: 3,286,834.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,061 : 1,499,465 = 1,499,465 : x
  2. Step 2: Convert to fraction form
    684,061/1,499,465 = 1,499,465/x
  3. Step 3: Cross multiply
    684,061x = 1,499,465 × 1,499,465
  4. Step 4: Simplify right side
    684,061x = 2,248,395,286,225
  5. Step 5: Solve for x
    x = 2,248,395,286,225/684,061
  6. Step 6: Final answer
    x = 3,286,834.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.